22101101121100 has 36 divisors (see below), whose sum is σ = 47960205741000. Its totient is φ = 8840289976960.

The previous prime is 22101101121097. The next prime is 22101101121103. The reversal of 22101101121100 is 112110110122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22101101121097) and next prime (22101101121103).

It is not an unprimeable number, because it can be changed into a prime (22101101121103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4118856 + ... + 7820944.

It is an arithmetic number, because the mean of its divisors is an integer number (1332227937250).

Almost surely, 2^{22101101121100} is an apocalyptic number.

22101101121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101101121100 is an abundant number, since it is smaller than the sum of its proper divisors (25859104619900).

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

22101101121100 is a wasteful number, since it uses less digits than its factorization.

22101101121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761802 (or 3761795 counting only the distinct ones).

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

Adding to 22101101121100 its reverse (112110110122), we get a palindrome (22213211231222).

The spelling of 22101101121100 in words is "twenty-two trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred".