10101012200 has 96 divisors (see below), whose sum is σ = 23719910400. Its totient is φ = 4000181760.

The previous prime is 10101012151. The next prime is 10101012209. The reversal of 10101012200 is 221010101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10101012209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12485396 + ... + 12486204.

It is an arithmetic number, because the mean of its divisors is an integer number (247082400).

Almost surely, 2^10101012200 is an apocalyptic number.

10101012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11859955200).

10101012200 is an abundant number, since it is smaller than the sum of its proper divisors (13618898200).

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

10101012200 is a wasteful number, since it uses less digits than its factorization.

10101012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101012200 its reverse (221010101), we get a palindrome (10322022301).

The spelling of 10101012200 in words is "ten billion, one hundred one million, twelve thousand, two hundred".