10022100010010 has 48 divisors (see below), whose sum is σ = 20468489481216. Its totient is φ = 3526838700000.

The previous prime is 10022100010001. The next prime is 10022100010057. The reversal of 10022100010010 is 1001000122001.

It is a super-2 number, since 2×10022100010010² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10022100010010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133554866 + ... + 133629885.

It is an arithmetic number, because the mean of its divisors is an integer number (426426864192).

Almost surely, 2^{10022100010010} is an apocalyptic number.

10022100010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022100010010 is an abundant number, since it is smaller than the sum of its proper divisors (10446389471206).

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

10022100010010 is a wasteful number, since it uses less digits than its factorization.

10022100010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267184811 (or 267184800 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10022100010010 its reverse (1001000122001), we get a palindrome (11023100132011).

The spelling of 10022100010010 in words is "ten trillion, twenty-two billion, one hundred million, ten thousand, ten".