100110021121200 has 120 divisors (see below), whose sum is σ = 320689352922448. Its totient is φ = 26695707171840.

The previous prime is 100110021121193. The next prime is 100110021121207. The reversal of 100110021121200 is 2121120011001.

It is an interprime number because it is at equal distance from previous prime (100110021121193) and next prime (100110021121207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×100110021121200² (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 not an unprimeable number, because it can be changed into a prime (100110021121207) 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, 119839362 + ... + 120671838.

Almost surely, 2^{100110021121200} is an apocalyptic number.

100110021121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110021121200 is an abundant number, since it is smaller than the sum of its proper divisors (220579331801248).

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

100110021121200 is a wasteful number, since it uses less digits than its factorization.

100110021121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932711 (or 932700 counting only the distinct ones).

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

Adding to 100110021121200 its reverse (2121120011001), we get a palindrome (102231141132201).

The spelling of 100110021121200 in words is "one hundred trillion, one hundred ten billion, twenty-one million, one hundred twenty-one thousand, two hundred".