31220102112 has 192 divisors, whose sum is σ = 86649937920. Its totient is φ = 9823334400.

The previous prime is 31220102101. The next prime is 31220102113. The reversal of 31220102112 is 21120102213.

It is a junction number, because it is equal to n+sod(n) for n = 31220102091 and 31220102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31220102113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76332564 + ... + 76332972.

It is an arithmetic number, because the mean of its divisors is an integer number (451301760).

Almost surely, 2^31220102112 is an apocalyptic number.

31220102112 is a gapful number since it is divisible by the number (32) 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 31220102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43324968960).

31220102112 is an abundant number, since it is smaller than the sum of its proper divisors (55429835808).

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

31220102112 is a wasteful number, since it uses less digits than its factorization.

31220102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31220102112 its reverse (21120102213), we get a palindrome (52340204325).

The spelling of 31220102112 in words is "thirty-one billion, two hundred twenty million, one hundred two thousand, one hundred twelve".