101051006561560 has 64 divisors (see below), whose sum is σ = 256587195376800. Its totient is φ = 35478723302400.

The previous prime is 101051006561497. The next prime is 101051006561563. The reversal of 101051006561560 is 65165600150101.

It is a super-2 number, since 2×101051006561560² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101051006561563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3959666181 + ... + 3959691700.

Almost surely, 2^{101051006561560} is an apocalyptic number.

101051006561560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101051006561560 is an abundant number, since it is smaller than the sum of its proper divisors (155536188815240).

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

101051006561560 is a wasteful number, since it uses less digits than its factorization.

101051006561560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7919357932 (or 7919357928 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 101051006561560 in words is "one hundred one trillion, fifty-one billion, six million, five hundred sixty-one thousand, five hundred sixty".