10100021122000 has 40 divisors (see below), whose sum is σ = 24421851077832. Its totient is φ = 4040008448000.

The previous prime is 10100021121997. The next prime is 10100021122001. The reversal of 10100021122000 is 22112000101.

10100021122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 169631954496 + 9930389167504 = 411864^2 + 3151252^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10100021122000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100021122001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2525003281 + ... + 2525007280.

Almost surely, 2^{10100021122000} is an apocalyptic number.

10100021122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100021122000 is an abundant number, since it is smaller than the sum of its proper divisors (14321829955832).

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

10100021122000 is an equidigital number, since it uses as much as digits as its factorization.

10100021122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5050010584 (or 5050010568 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100021122000 its reverse (22112000101), we get a palindrome (10122133122101).

The spelling of 10100021122000 in words is "ten trillion, one hundred billion, twenty-one million, one hundred twenty-two thousand".