101656661040 has 320 divisors, whose sum is σ = 388250150400. Its totient is φ = 24239692800.

The previous prime is 101656661017. The next prime is 101656661131. The reversal of 101656661040 is 40166656101.

It is a happy number.

101656661040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101656660986 and 101656661004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1414291 + ... + 1484429.

It is an arithmetic number, because the mean of its divisors is an integer number (1213281720).

Almost surely, 2^101656661040 is an apocalyptic number.

101656661040 is a gapful number since it is divisible by the number (10) 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 101656661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194125075200).

101656661040 is an abundant number, since it is smaller than the sum of its proper divisors (286593489360).

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

101656661040 is a wasteful number, since it uses less digits than its factorization.

101656661040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70233 (or 70221 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 101656661040 in words is "one hundred one billion, six hundred fifty-six million, six hundred sixty-one thousand, forty".