101231112100 has 144 divisors (see below), whose sum is σ = 243129938688. Its totient is φ = 36389928960.

The previous prime is 101231112089. The next prime is 101231112109. The reversal of 101231112100 is 1211132101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101231112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26312377 + ... + 26316223.

It is an arithmetic number, because the mean of its divisors is an integer number (1688402352).

Almost surely, 2^101231112100 is an apocalyptic number.

101231112100 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 101231112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121564969344).

101231112100 is an abundant number, since it is smaller than the sum of its proper divisors (141898826588).

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

101231112100 is a wasteful number, since it uses less digits than its factorization.

101231112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101231112100 its reverse (1211132101), we get a palindrome (102442244201).

The spelling of 101231112100 in words is "one hundred one billion, two hundred thirty-one million, one hundred twelve thousand, one hundred".