101110101011010 has 384 divisors, whose sum is σ = 332979801283584. Its totient is φ = 20713897912320.

The previous prime is 101110101010981. The next prime is 101110101011021. The reversal of 101110101011010 is 10110101011101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101110101010983 and 101110101011001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147233040 + ... + 147918180.

It is an arithmetic number, because the mean of its divisors is an integer number (867134899176).

Almost surely, 2^{101110101011010} is an apocalyptic number.

101110101011010 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 101110101011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166489900641792).

101110101011010 is an abundant number, since it is smaller than the sum of its proper divisors (231869700272574).

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

101110101011010 is a wasteful number, since it uses less digits than its factorization.

101110101011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685698 (or 685695 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101110101011010 its reverse (10110101011101), we get a palindrome (111220202022111).

Subtracting from 101110101011010 its reverse (10110101011101), we obtain a palindrome (90999999999909).

The spelling of 101110101011010 in words is "one hundred one trillion, one hundred ten billion, one hundred one million, eleven thousand, ten".