101320102313100 has 216 divisors, whose sum is σ = 361516533460992. Its totient is φ = 23494516425600.

The previous prime is 101320102313051. The next prime is 101320102313113. The reversal of 101320102313100 is 1313201023101.

101320102313100 is a `hidden beast` number, since 1 + 0 + 1 + 320 + 1 + 0 + 2 + 31 + 310 + 0 = 666.

It is a super-2 number, since 2×101320102313100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 222258252 + ... + 222713651.

It is an arithmetic number, because the mean of its divisors is an integer number (1673687654912).

Almost surely, 2^{101320102313100} is an apocalyptic number.

101320102313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101320102313100 is an abundant number, since it is smaller than the sum of its proper divisors (260196431147892).

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

101320102313100 is a wasteful number, since it uses less digits than its factorization.

101320102313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444971957 (or 444971947 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101320102313100 its reverse (1313201023101), we get a palindrome (102633303336201).

The spelling of 101320102313100 in words is "one hundred one trillion, three hundred twenty billion, one hundred two million, three hundred thirteen thousand, one hundred".