312231021102 has 288 divisors, whose sum is σ = 939946478016. Its totient is φ = 72835614720.

The previous prime is 312231021097. The next prime is 312231021107. The reversal of 312231021102 is 201120132213.

312231021102 is a `hidden beast` number, since 312 + 231 + 0 + 21 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (312231021097) and next prime (312231021107).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312231021107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7312038 + ... + 7354614.

Almost surely, 2^312231021102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312231021102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469973239008).

312231021102 is an abundant number, since it is smaller than the sum of its proper divisors (627715456914).

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

312231021102 is a wasteful number, since it uses less digits than its factorization.

312231021102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42664 (or 42650 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312231021102 its reverse (201120132213), we get a palindrome (513351153315).

Subtracting from 312231021102 its reverse (201120132213), we obtain a square (111110888889 = 333333²).

The spelling of 312231021102 in words is "three hundred twelve billion, two hundred thirty-one million, twenty-one thousand, one hundred two".