10002031022120 has 192 divisors, whose sum is σ = 23491060387200. Its totient is φ = 3832230067200.

The previous prime is 10002031022117. The next prime is 10002031022141. The reversal of 10002031022120 is 2122013020001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10002031022095 and 10002031022104.

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, 990000989 + ... + 990011091.

It is an arithmetic number, because the mean of its divisors is an integer number (122349272850).

Almost surely, 2^{10002031022120} is an apocalyptic number.

10002031022120 is a gapful number since it is divisible by the number (10) 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 10002031022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11745530193600).

10002031022120 is an abundant number, since it is smaller than the sum of its proper divisors (13489029365080).

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

10002031022120 is a wasteful number, since it uses less digits than its factorization.

10002031022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10468 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10002031022120 its reverse (2122013020001), we get a palindrome (12124044042121).

The spelling of 10002031022120 in words is "ten trillion, two billion, thirty-one million, twenty-two thousand, one hundred twenty".