101013321200 has 120 divisors (see below), whose sum is σ = 270380194560. Its totient is φ = 35950508800.

The previous prime is 101013321187. The next prime is 101013321251. The reversal of 101013321200 is 2123310101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37430 + ... + 451029.

It is an arithmetic number, because the mean of its divisors is an integer number (2253168288).

Almost surely, 2^101013321200 is an apocalyptic number.

101013321200 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 101013321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135190097280).

101013321200 is an abundant number, since it is smaller than the sum of its proper divisors (169366873360).

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

101013321200 is a wasteful number, since it uses less digits than its factorization.

101013321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488535 (or 488524 counting only the distinct ones).

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

Adding to 101013321200 its reverse (2123310101), we get a palindrome (103136631301).

The spelling of 101013321200 in words is "one hundred one billion, thirteen million, three hundred twenty-one thousand, two hundred".