100409932682112 has 64 divisors (see below), whose sum is σ = 266915788050960. Its totient is φ = 33444640542720.

The previous prime is 100409932682077. The next prime is 100409932682131. The reversal of 100409932682112 is 211286239904001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 98464803 + ... + 99479330.

Almost surely, 2^{100409932682112} is an apocalyptic number.

100409932682112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100409932682112 is an abundant number, since it is smaller than the sum of its proper divisors (166505855368848).

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

100409932682112 is a wasteful number, since it uses less digits than its factorization.

100409932682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197945471 (or 197945459 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 100409932682112 in words is "one hundred trillion, four hundred nine billion, nine hundred thirty-two million, six hundred eighty-two thousand, one hundred twelve".