101312123331100 has 144 divisors (see below), whose sum is σ = 242884604390400. Its totient is φ = 36372140064000.

The previous prime is 101312123331047. The next prime is 101312123331109. The reversal of 101312123331100 is 1133321213101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312123331109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2012491930 + ... + 2012542270.

It is an arithmetic number, because the mean of its divisors is an integer number (1686698641600).

Almost surely, 2^{101312123331100} is an apocalyptic number.

101312123331100 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 101312123331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121442302195200).

101312123331100 is an abundant number, since it is smaller than the sum of its proper divisors (141572481059300).

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

101312123331100 is a wasteful number, since it uses less digits than its factorization.

101312123331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73604 (or 73597 counting only the distinct ones).

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

Adding to 101312123331100 its reverse (1133321213101), we get a palindrome (102445444544201).

The spelling of 101312123331100 in words is "one hundred one trillion, three hundred twelve billion, one hundred twenty-three million, three hundred thirty-one thousand, one hundred".