10002022102000 has 40 divisors (see below), whose sum is σ = 24184889447472. Its totient is φ = 4000808840000.

The previous prime is 10002022101943. The next prime is 10002022102099. The reversal of 10002022102000 is 20122020001.

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

It is a super-2 number, since 2×10002022102000² (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 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 7 ways as a sum of consecutive naturals, for example, 2500503526 + ... + 2500507525.

Almost surely, 2^{10002022102000} is an apocalyptic number.

10002022102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002022102000 is an abundant number, since it is smaller than the sum of its proper divisors (14182867345472).

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

10002022102000 is an equidigital number, since it uses as much as digits as its factorization.

10002022102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001011074 (or 5001011058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10002022102000 its reverse (20122020001), we get a palindrome (10022144122001).

The spelling of 10002022102000 in words is "ten trillion, two billion, twenty-two million, one hundred two thousand".