101000010 has 64 divisors (see below), whose sum is σ = 262108800. Its totient is φ = 24820992.

The previous prime is 100999993. The next prime is 101000023. The reversal of 101000010 is 10000101.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100999959 and 101000004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18696 + ... + 23484.

It is an arithmetic number, because the mean of its divisors is an integer number (4095450).

Almost surely, 2^101000010 is an apocalyptic number.

101000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131054400).

101000010 is an abundant number, since it is smaller than the sum of its proper divisors (161108790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101000010 is a wasteful number, since it uses less digits than its factorization.

101000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 101000010 is about 10049.8761186395. The cubic root of 101000010 is about 465.7009661501.

Adding to 101000010 its reverse (10000101), we get a palindrome (111000111).

Subtracting from 101000010 its reverse (10000101), we obtain a palindrome (90999909).

The spelling of 101000010 in words is "one hundred one million, ten", and thus it is an aban number.