100101990418272 has 288 divisors, whose sum is σ = 302038105824000. Its totient is φ = 31359303705600.

The previous prime is 100101990418211. The next prime is 100101990418393. The reversal of 100101990418272 is 272814099101001.

100101990418272 is a `hidden beast` number, since 10 + 0 + 10 + 199 + 0 + 418 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×100101990418272² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989500429 + ... + 989601587.

It is an arithmetic number, because the mean of its divisors is an integer number (1048743423000).

Almost surely, 2^{100101990418272} is an apocalyptic number.

100101990418272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101990418272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151019052912000).

100101990418272 is an abundant number, since it is smaller than the sum of its proper divisors (201936115405728).

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

100101990418272 is a wasteful number, since it uses less digits than its factorization.

100101990418272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102634 (or 102623 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 100101990418272 in words is "one hundred trillion, one hundred one billion, nine hundred ninety million, four hundred eighteen thousand, two hundred seventy-two".