22101012110100 has 144 divisors (see below), whose sum is σ = 79724378313216. Its totient is φ = 4592418096000.

The previous prime is 22101012110057. The next prime is 22101012110101. The reversal of 22101012110100 is 101121010122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101012110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 478353786 + ... + 478399985.

It is an arithmetic number, because the mean of its divisors is an integer number (553641516064).

Almost surely, 2^{22101012110100} is an apocalyptic number.

22101012110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101012110100 is an abundant number, since it is smaller than the sum of its proper divisors (57623366203116).

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

22101012110100 is a wasteful number, since it uses less digits than its factorization.

22101012110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956753806 (or 956753799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22101012110100 its reverse (101121010122), we get a palindrome (22202133120222).

The spelling of 22101012110100 in words is "twenty-two trillion, one hundred one billion, twelve million, one hundred ten thousand, one hundred".