10022111121100 has 72 divisors (see below), whose sum is σ = 24798602975328. Its totient is φ = 3482796979200.

The previous prime is 10022111121097. The next prime is 10022111121107. The reversal of 10022111121100 is 112111122001.

It is a happy number.

It is a super-2 number, since 2×10022111121100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10022111121107) 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, 226722496 + ... + 226766695.

It is an arithmetic number, because the mean of its divisors is an integer number (344425041324).

Almost surely, 2^{10022111121100} is an apocalyptic number.

10022111121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022111121100 is an abundant number, since it is smaller than the sum of its proper divisors (14776491854228).

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

10022111121100 is a wasteful number, since it uses less digits than its factorization.

10022111121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453489235 (or 453489228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10022111121100 its reverse (112111122001), we get a palindrome (10134222243101).

Subtracting from 10022111121100 its reverse (112111122001), we obtain a palindrome (9909999999099).

The spelling of 10022111121100 in words is "ten trillion, twenty-two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred".