10112210100 has 180 divisors, whose sum is σ = 33910915500. Its totient is φ = 2603543040.

The previous prime is 10112210099. The next prime is 10112210179. The reversal of 10112210100 is 101221101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 117809316 + 9994400784 = 10854^2 + 99972^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 213376 + ... + 256424.

It is an arithmetic number, because the mean of its divisors is an integer number (188393975).

Almost surely, 2^10112210100 is an apocalyptic number.

10112210100 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 10112210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955457750).

10112210100 is an abundant number, since it is smaller than the sum of its proper divisors (23798705400).

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

10112210100 is a wasteful number, since it uses less digits than its factorization.

10112210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43104 (or 43088 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10112210100 its reverse (101221101), we get a palindrome (10213431201).

The spelling of 10112210100 in words is "ten billion, one hundred twelve million, two hundred ten thousand, one hundred".