101401006160 has 40 divisors (see below), whose sum is σ = 238741624320. Its totient is φ = 40046977152.

The previous prime is 101401006141. The next prime is 101401006229. The reversal of 101401006160 is 61600104101.

101401006160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8015912 + ... + 8028551.

It is an arithmetic number, because the mean of its divisors is an integer number (5968540608).

Almost surely, 2^101401006160 is an apocalyptic number.

101401006160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101401006160 is an abundant number, since it is smaller than the sum of its proper divisors (137340618160).

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

101401006160 is a wasteful number, since it uses less digits than its factorization.

101401006160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16044555 (or 16044549 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 101401006160 in words is "one hundred one billion, four hundred one million, six thousand, one hundred sixty".