101208769272 has 256 divisors, whose sum is σ = 325835395200. Its totient is φ = 28828016640.

The previous prime is 101208769241. The next prime is 101208769273. The reversal of 101208769272 is 272967802101.

It is a happy number.

101208769272 is a `hidden beast` number, since 101 + 208 + 76 + 9 + 272 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101208769273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2894518 + ... + 2929274.

Almost surely, 2^101208769272 is an apocalyptic number.

101208769272 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 101208769272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162917697600).

101208769272 is an abundant number, since it is smaller than the sum of its proper divisors (224626625928).

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

101208769272 is a wasteful number, since it uses less digits than its factorization.

101208769272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34863 (or 34853 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 101208769272 in words is "one hundred one billion, two hundred eight million, seven hundred sixty-nine thousand, two hundred seventy-two".