10020112121000 has 64 divisors (see below), whose sum is σ = 23448389636880. Its totient is φ = 4007817964800.

The previous prime is 10020112120987. The next prime is 10020112121057. The reversal of 10020112121000 is 12121102001.

It can be written as a sum of positive squares in 8 ways, for example, as 48019709956 + 9972092411044 = 219134^2 + 3157862^2 .

It is a super-2 number, since 2×10020112121000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17978522 + ... + 18527478.

Almost surely, 2^{10020112121000} is an apocalyptic number.

10020112121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020112121000 is an abundant number, since it is smaller than the sum of its proper divisors (13428277515880).

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

10020112121000 is a wasteful number, since it uses less digits than its factorization.

10020112121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567231 (or 567217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10020112121000 its reverse (12121102001), we get a palindrome (10032233223001).

The spelling of 10020112121000 in words is "ten trillion, twenty billion, one hundred twelve million, one hundred twenty-one thousand".