10112202100 has 144 divisors (see below), whose sum is σ = 29462864256. Its totient is φ = 2909376000.

The previous prime is 10112202043. The next prime is 10112202101. The reversal of 10112202100 is 120221101.

It is a super-2 number, since 2×10112202100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112202101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49590 + ... + 150610.

It is an arithmetic number, because the mean of its divisors is an integer number (204603224).

Almost surely, 2^10112202100 is an apocalyptic number.

10112202100 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 10112202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731432128).

10112202100 is an abundant number, since it is smaller than the sum of its proper divisors (19350662156).

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

10112202100 is a wasteful number, since it uses less digits than its factorization.

10112202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101066 (or 101059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10112202100 its reverse (120221101), we get a palindrome (10232423201).

It can be divided in two parts, 10112 and 202100, that added together give a palindrome (212212).

The spelling of 10112202100 in words is "ten billion, one hundred twelve million, two hundred two thousand, one hundred".