10100007064272 has 160 divisors (see below), whose sum is σ = 26688043855872. Its totient is φ = 3290238761472.

The previous prime is 10100007064271. The next prime is 10100007064313. The reversal of 10100007064272 is 27246070000101.

10100007064272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100007064271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846812773 + ... + 846824699.

Almost surely, 2^{10100007064272} is an apocalyptic number.

10100007064272 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 10100007064272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344021927936).

10100007064272 is an abundant number, since it is smaller than the sum of its proper divisors (16588036791600).

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

10100007064272 is a wasteful number, since it uses less digits than its factorization.

10100007064272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13265 (or 13259 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 10100007064272 its reverse (27246070000101), we get a palindrome (37346077064373).

The spelling of 10100007064272 in words is "ten trillion, one hundred billion, seven million, sixty-four thousand, two hundred seventy-two".