101127411072 has 96 divisors (see below), whose sum is σ = 291102163560. Its totient is φ = 33697843200.

The previous prime is 101127411053. The next prime is 101127411079. The reversal of 101127411072 is 270114721101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101127411079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3870372 + ... + 3896412.

Almost surely, 2^101127411072 is an apocalyptic number.

101127411072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101127411072 is an abundant number, since it is smaller than the sum of its proper divisors (189974752488).

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

101127411072 is a wasteful number, since it uses less digits than its factorization.

101127411072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29432 (or 29417 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The spelling of 101127411072 in words is "one hundred one billion, one hundred twenty-seven million, four hundred eleven thousand, seventy-two".