31112202100 has 108 divisors (see below), whose sum is σ = 79824331020. Its totient is φ = 10492070400.

The previous prime is 31112202091. The next prime is 31112202101. The reversal of 31112202100 is 120221113.

It can be written as a sum of positive squares in 6 ways, for example, as 1733556496 + 29378645604 = 41636^2 + 171402^2 .

It is a super-2 number, since 2×31112202100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31112202101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246856 + ... + 350944.

Almost surely, 2^31112202100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39912165510).

31112202100 is an abundant number, since it is smaller than the sum of its proper divisors (48712128920).

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

31112202100 is a wasteful number, since it uses less digits than its factorization.

31112202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104178 (or 104164 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 31112202100 its reverse (120221113), we get a palindrome (31232423213).

The spelling of 31112202100 in words is "thirty-one billion, one hundred twelve million, two hundred two thousand, one hundred".