101313021200 has 120 divisors (see below), whose sum is σ = 248835166536. Its totient is φ = 39628800000.

The previous prime is 101313021197. The next prime is 101313021203. The reversal of 101313021200 is 2120313101.

It is an interprime number because it is at equal distance from previous prime (101313021197) and next prime (101313021203).

It can be written as a sum of positive squares in 12 ways, for example, as 43711101184 + 57601920016 = 209072^2 + 240004^2 .

It is not an unprimeable number, because it can be changed into a prime (101313021203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4209200 + ... + 4233200.

Almost surely, 2^101313021200 is an apocalyptic number.

101313021200 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 101313021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124417583268).

101313021200 is an abundant number, since it is smaller than the sum of its proper divisors (147522145336).

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

101313021200 is a wasteful number, since it uses less digits than its factorization.

101313021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24253 (or 24242 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101313021200 its reverse (2120313101), we get a palindrome (103433334301).

The spelling of 101313021200 in words is "one hundred one billion, three hundred thirteen million, twenty-one thousand, two hundred".