101398066272 has 48 divisors (see below), whose sum is σ = 295744362480. Its totient is φ = 33799355136.

The previous prime is 101398066243. The next prime is 101398066283. The reversal of 101398066272 is 272660893101.

101398066272 is a `hidden beast` number, since 1 + 0 + 13 + 9 + 8 + 0 + 6 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (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, 58678573 + ... + 58680300.

It is an arithmetic number, because the mean of its divisors is an integer number (6161340885).

Almost surely, 2^101398066272 is an apocalyptic number.

101398066272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101398066272 is an abundant number, since it is smaller than the sum of its proper divisors (194346296208).

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

101398066272 is a wasteful number, since it uses less digits than its factorization.

101398066272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117358892 (or 117358878 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 101398066272 in words is "one hundred one billion, three hundred ninety-eight million, sixty-six thousand, two hundred seventy-two".