10022002100 has 144 divisors (see below), whose sum is σ = 24251947776. Its totient is φ = 3564288000.

The previous prime is 10022002063. The next prime is 10022002117. The reversal of 10022002100 is 120022001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11000645 + ... + 11001555.

It is an arithmetic number, because the mean of its divisors is an integer number (168416304).

Almost surely, 2^10022002100 is an apocalyptic number.

10022002100 is a gapful number since it is divisible by the number (10) 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 10022002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125973888).

10022002100 is an abundant number, since it is smaller than the sum of its proper divisors (14229945676).

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

10022002100 is a wasteful number, since it uses less digits than its factorization.

10022002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1139 counting only the distinct ones).

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

Adding to 10022002100 its reverse (120022001), we get a palindrome (10142024101).

The spelling of 10022002100 in words is "ten billion, twenty-two million, two thousand, one hundred".