100133002000272 has 40 divisors (see below), whose sum is σ = 258695990142976. Its totient is φ = 33375206906496.

The previous prime is 100133002000271. The next prime is 100133002000309. The reversal of 100133002000272 is 272000200331001.

It is not an unprimeable number, because it can be changed into a prime (100133002000271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76230343 + ... + 77532774.

Almost surely, 2^{100133002000272} is an apocalyptic number.

100133002000272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133002000272 is an abundant number, since it is smaller than the sum of its proper divisors (158562988142704).

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

100133002000272 is a wasteful number, since it uses less digits than its factorization.

100133002000272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153776695 (or 153776689 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 100133002000272 its reverse (272000200331001), we get a palindrome (372133202331273).

The spelling of 100133002000272 in words is "one hundred trillion, one hundred thirty-three billion, two million, two hundred seventy-two", and thus it is an aban number.