101300000312122 has 32 divisors (see below), whose sum is σ = 155954146521600. Its totient is φ = 49332331538688.

The previous prime is 101300000312113. The next prime is 101300000312129. The reversal of 101300000312122 is 221213000003101.

101300000312122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101300000312096 and 101300000312105.

It is not an unprimeable number, because it can be changed into a prime (101300000312129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 902610903 + ... + 902723125.

It is an arithmetic number, because the mean of its divisors is an integer number (4873567078800).

Almost surely, 2^{101300000312122} is an apocalyptic number.

101300000312122 is a deficient number, since it is larger than the sum of its proper divisors (54654146209478).

101300000312122 is a wasteful number, since it uses less digits than its factorization.

101300000312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188070.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101300000312122 its reverse (221213000003101), we get a palindrome (322513000315223).

The spelling of 101300000312122 in words is "one hundred one trillion, three hundred billion, three hundred twelve thousand, one hundred twenty-two".