31020100122000 has 320 divisors, whose sum is σ = 109176245987328. Its totient is φ = 7514804160000.

The previous prime is 31020100121981. The next prime is 31020100122041. The reversal of 31020100122000 is 22100102013.

It is a super-2 number, since 2×31020100122000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95339595 + ... + 95664405.

Almost surely, 2^{31020100122000} is an apocalyptic number.

31020100122000 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 31020100122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54588122993664).

31020100122000 is an abundant number, since it is smaller than the sum of its proper divisors (78156145865328).

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

31020100122000 is a wasteful number, since it uses less digits than its factorization.

31020100122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326295 (or 326279 counting only the distinct ones).

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

Adding to 31020100122000 its reverse (22100102013), we get a palindrome (31042200224013).

The spelling of 31020100122000 in words is "thirty-one trillion, twenty billion, one hundred million, one hundred twenty-two thousand".