101211061555100 has 72 divisors (see below), whose sum is σ = 251008034353440. Its totient is φ = 34700299211520.

The previous prime is 101211061555013. The next prime is 101211061555129. The reversal of 101211061555100 is 1555160112101.

It is a super-2 number, since 2×101211061555100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37704386 + ... + 40299414.

Almost surely, 2^{101211061555100} is an apocalyptic number.

101211061555100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211061555100 is an abundant number, since it is smaller than the sum of its proper divisors (149796972798340).

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

101211061555100 is a wasteful number, since it uses less digits than its factorization.

101211061555100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650767 (or 2650760 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 29.

The spelling of 101211061555100 in words is "one hundred one trillion, two hundred eleven billion, sixty-one million, five hundred fifty-five thousand, one hundred".