10022100110000 has 100 divisors (see below), whose sum is σ = 26470371101064. Its totient is φ = 3644400000000.

The previous prime is 10022100109933. The next prime is 10022100110107. The reversal of 10022100110000 is 1100122001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×10022100110000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10022100110000.

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 19 ways as a sum of consecutive naturals, for example, 45445001 + ... + 45665000.

Almost surely, 2^{10022100110000} is an apocalyptic number.

10022100110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022100110000 is an abundant number, since it is smaller than the sum of its proper divisors (16448270991064).

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

10022100110000 is an equidigital number, since it uses as much as digits as its factorization.

10022100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91110040 (or 91110019 counting only the distinct ones).

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

Adding to 10022100110000 its reverse (1100122001), we get a palindrome (10023200232001).

The spelling of 10022100110000 in words is "ten trillion, twenty-two billion, one hundred million, one hundred ten thousand".