100142202272216 has 64 divisors (see below), whose sum is σ = 206526413923200. Its totient is φ = 45233050411008.

The previous prime is 100142202272029. The next prime is 100142202272221. The reversal of 100142202272216 is 612272202241001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72997220 + ... + 74356428.

It is an arithmetic number, because the mean of its divisors is an integer number (3226975217550).

Almost surely, 2^{100142202272216} is an apocalyptic number.

It is an amenable number.

100142202272216 is an abundant number, since it is smaller than the sum of its proper divisors (106384211650984).

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

100142202272216 is a wasteful number, since it uses less digits than its factorization.

100142202272216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374348 (or 1374344 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 100142202272216 in words is "one hundred trillion, one hundred forty-two billion, two hundred two million, two hundred seventy-two thousand, two hundred sixteen".