101311321323100 has 144 divisors (see below), whose sum is σ = 254938382899200. Its totient is φ = 34227431147520.

The previous prime is 101311321323061. The next prime is 101311321323127. The reversal of 101311321323100 is 1323123113101.

It is a super-2 number, since 2×101311321323100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25994796 + ... + 29637004.

It is an arithmetic number, because the mean of its divisors is an integer number (1770405436800).

Almost surely, 2^{101311321323100} is an apocalyptic number.

101311321323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101311321323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127469191449600).

101311321323100 is an abundant number, since it is smaller than the sum of its proper divisors (153627061576100).

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

101311321323100 is a wasteful number, since it uses less digits than its factorization.

101311321323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642812 (or 3642805 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 101311321323100 its reverse (1323123113101), we get a palindrome (102634444436201).

The spelling of 101311321323100 in words is "one hundred one trillion, three hundred eleven billion, three hundred twenty-one million, three hundred twenty-three thousand, one hundred".