100012102201120 has 48 divisors (see below), whose sum is σ = 250177332130488. Its totient is φ = 37651614945280.

The previous prime is 100012102201093. The next prime is 100012102201139. The reversal of 100012102201120 is 21102201210001.

It can be written as a sum of positive squares in 4 ways, for example, as 83229347952144 + 16782754248976 = 9123012^2 + 4096676^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100012102201120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18384574891 + ... + 18384580330.

Almost surely, 2^{100012102201120} is an apocalyptic number.

100012102201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012102201120 is an abundant number, since it is smaller than the sum of its proper divisors (150165229929368).

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

100012102201120 is a wasteful number, since it uses less digits than its factorization.

100012102201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36769155253 (or 36769155245 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100012102201120 its reverse (21102201210001), we get a palindrome (121114303411121).

The spelling of 100012102201120 in words is "one hundred trillion, twelve billion, one hundred two million, two hundred one thousand, one hundred twenty".