100121561215512 has 128 divisors (see below), whose sum is σ = 263622449664000. Its totient is φ = 31599982172160.

The previous prime is 100121561215477. The next prime is 100121561215513. The reversal of 100121561215512 is 215512165121001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121561215513) 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 31 ways as a sum of consecutive naturals, for example, 8456921289 + ... + 8456933127.

It is an arithmetic number, because the mean of its divisors is an integer number (2059550388000).

Almost surely, 2^{100121561215512} is an apocalyptic number.

100121561215512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121561215512 is an abundant number, since it is smaller than the sum of its proper divisors (163500888448488).

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

100121561215512 is a wasteful number, since it uses less digits than its factorization.

100121561215512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20481 (or 20477 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 33.

The spelling of 100121561215512 in words is "one hundred trillion, one hundred twenty-one billion, five hundred sixty-one million, two hundred fifteen thousand, five hundred twelve".