100111022121000 has 256 divisors, whose sum is σ = 344254325425920. Its totient is φ = 24019138560000.

The previous prime is 100111022120971. The next prime is 100111022121049. The reversal of 100111022121000 is 121220111001.

It is a super-2 number, since 2×100111022121000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12436461 + ... + 18838460.

It is an arithmetic number, because the mean of its divisors is an integer number (1344743458695).

Almost surely, 2^{100111022121000} is an apocalyptic number.

100111022121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111022121000 is an abundant number, since it is smaller than the sum of its proper divisors (244143303304920).

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

100111022121000 is a wasteful number, since it uses less digits than its factorization.

100111022121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31275053 (or 31275039 counting only the distinct ones).

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

Adding to 100111022121000 its reverse (121220111001), we get a palindrome (100232242232001).

The spelling of 100111022121000 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, one hundred twenty-one thousand".