312022010100 has 144 divisors (see below), whose sum is σ = 931275269568. Its totient is φ = 80599772160.

The previous prime is 312022010077. The next prime is 312022010117. The reversal of 312022010100 is 1010220213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2457784 + ... + 2581616.

It is an arithmetic number, because the mean of its divisors is an integer number (6467189372).

Almost surely, 2^312022010100 is an apocalyptic number.

312022010100 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 312022010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465637634784).

312022010100 is an abundant number, since it is smaller than the sum of its proper divisors (619253259468).

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

312022010100 is a wasteful number, since it uses less digits than its factorization.

312022010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124114 (or 124107 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 312022010100 its reverse (1010220213), we get a palindrome (313032230313).

The spelling of 312022010100 in words is "three hundred twelve billion, twenty-two million, ten thousand, one hundred".