101050055556100 has 144 divisors (see below), whose sum is σ = 255410852659200. Its totient is φ = 33986114870400.

The previous prime is 101050055556061. The next prime is 101050055556181. The reversal of 101050055556100 is 1655550050101.

It is a super-2 number, since 2×101050055556100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4781757 + ... + 14998843.

It is an arithmetic number, because the mean of its divisors is an integer number (1773686476800).

Almost surely, 2^{101050055556100} is an apocalyptic number.

101050055556100 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 101050055556100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127705426329600).

101050055556100 is an abundant number, since it is smaller than the sum of its proper divisors (154360797103100).

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

101050055556100 is a wasteful number, since it uses less digits than its factorization.

101050055556100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10217378 (or 10217371 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 101050055556100 in words is "one hundred one trillion, fifty billion, fifty-five million, five hundred fifty-six thousand, one hundred".