101311230312100 has 18 divisors (see below), whose sum is σ = 219845369777474. Its totient is φ = 40524492124800.

The previous prime is 101311230312079. The next prime is 101311230312107. The reversal of 101311230312100 is 1213032113101.

It can be written as a sum of positive squares in 3 ways, for example, as 15095214185536 + 86216016126564 = 3885256^2 + 9285258^2 .

It is not an unprimeable number, because it can be changed into a prime (101311230312107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506556151461 + ... + 506556151660.

Almost surely, 2^{101311230312100} is an apocalyptic number.

101311230312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101311230312100 is an abundant number, since it is smaller than the sum of its proper divisors (118534139465374).

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

101311230312100 is a wasteful number, since it uses less digits than its factorization.

101311230312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013112303135 (or 1013112303128 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101311230312100 its reverse (1213032113101), we get a palindrome (102524262425201).

The spelling of 101311230312100 in words is "one hundred one trillion, three hundred eleven billion, two hundred thirty million, three hundred twelve thousand, one hundred".