100202121209972 has 48 divisors (see below), whose sum is σ = 190187136216000. Its totient is φ = 46008699889152.

The previous prime is 100202121209941. The next prime is 100202121209987. The reversal of 100202121209972 is 279902121202001.

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, 15324347 + ... + 20862402.

It is an arithmetic number, because the mean of its divisors is an integer number (3962232004500).

Almost surely, 2^{100202121209972} is an apocalyptic number.

It is an amenable number.

100202121209972 is a deficient number, since it is larger than the sum of its proper divisors (89985015006028).

100202121209972 is a wasteful number, since it uses less digits than its factorization.

100202121209972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36187760 (or 36187758 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 100202121209972 in words is "one hundred trillion, two hundred two billion, one hundred twenty-one million, two hundred nine thousand, nine hundred seventy-two".