20100022010000 has 100 divisors (see below), whose sum is σ = 48723313448832. Its totient is φ = 8030236368000.

The previous prime is 20100022009961. The next prime is 20100022010021. The reversal of 20100022010000 is 1022000102.

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

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 20100022010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7008857 + ... + 9451143.

Almost surely, 2^{20100022010000} is an apocalyptic number.

20100022010000 is a gapful number since it is divisible by the number (20) 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 20100022010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24361656724416).

20100022010000 is an abundant number, since it is smaller than the sum of its proper divisors (28623291438832).

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

20100022010000 is an equidigital number, since it uses as much as digits as its factorization.

20100022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443138 (or 2443117 counting only the distinct ones).

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

Adding to 20100022010000 its reverse (1022000102), we get a palindrome (20101044010102).

The spelling of 20100022010000 in words is "twenty trillion, one hundred billion, twenty-two million, ten thousand".