31000122122100 has 144 divisors (see below), whose sum is σ = 90849492135360. Its totient is φ = 8160476544000.

The previous prime is 31000122122077. The next prime is 31000122122107. The reversal of 31000122122100 is 122122100013.

It is a super-2 number, since 2×31000122122100² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31000122122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31000122122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15420075 + ... + 17314125.

It is an arithmetic number, because the mean of its divisors is an integer number (630899250940).

Almost surely, 2^{31000122122100} is an apocalyptic number.

31000122122100 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 31000122122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45424746067680).

31000122122100 is an abundant number, since it is smaller than the sum of its proper divisors (59849370013260).

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

31000122122100 is a wasteful number, since it uses less digits than its factorization.

31000122122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894770 (or 1894763 counting only the distinct ones).

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

Adding to 31000122122100 its reverse (122122100013), we get a palindrome (31122244222113).

The spelling of 31000122122100 in words is "thirty-one trillion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred".