101312221312100 has 144 divisors (see below), whose sum is σ = 226410953938176. Its totient is φ = 39326062464000.

The previous prime is 101312221312079. The next prime is 101312221312199. The reversal of 101312221312100 is 1213122213101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 681029927 + ... + 681178673.

Almost surely, 2^{101312221312100} is an apocalyptic number.

101312221312100 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 101312221312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113205476969088).

101312221312100 is an abundant number, since it is smaller than the sum of its proper divisors (125098732626076).

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

101312221312100 is a wasteful number, since it uses less digits than its factorization.

101312221312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149686 (or 149679 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101312221312100 its reverse (1213122213101), we get a palindrome (102525343525201).

The spelling of 101312221312100 in words is "one hundred one trillion, three hundred twelve billion, two hundred twenty-one million, three hundred twelve thousand, one hundred".