101377077100 has 72 divisors (see below), whose sum is σ = 236992119728. Its totient is φ = 37418630400.

The previous prime is 101377077097. The next prime is 101377077107. The reversal of 101377077100 is 1770773101.

It is a happy number.

It is a super-2 number, since 2×101377077100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101377077107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4287310 + ... + 4310890.

Almost surely, 2^101377077100 is an apocalyptic number.

101377077100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101377077100 is an abundant number, since it is smaller than the sum of its proper divisors (135615042628).

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

101377077100 is a wasteful number, since it uses less digits than its factorization.

101377077100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26915 (or 26908 counting only the distinct ones).

The product of its (nonzero) digits is 7203, while the sum is 34.

The spelling of 101377077100 in words is "one hundred one billion, three hundred seventy-seven million, seventy-seven thousand, one hundred".