31200110100 has 108 divisors (see below), whose sum is σ = 97845042204. Its totient is φ = 8315773440.

The previous prime is 31200110087. The next prime is 31200110111. The reversal of 31200110100 is 101100213.

It can be written as a sum of positive squares in 6 ways, for example, as 3092916996 + 28107193104 = 55614^2 + 167652^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2005552 + ... + 2021048.

It is an arithmetic number, because the mean of its divisors is an integer number (905972613).

Almost surely, 2^31200110100 is an apocalyptic number.

31200110100 is a gapful number since it is divisible by the number (30) 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 31200110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48922521102).

31200110100 is an abundant number, since it is smaller than the sum of its proper divisors (66644932104).

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

31200110100 is a wasteful number, since it uses less digits than its factorization.

31200110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17754 (or 17744 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 31200110100 its reverse (101100213), we get a palindrome (31301210313).

The spelling of 31200110100 in words is "thirty-one billion, two hundred million, one hundred ten thousand, one hundred".