10022001002100 has 144 divisors (see below), whose sum is σ = 32221751564800. Its totient is φ = 2672295183360.

The previous prime is 10022001002029. The next prime is 10022001002129. The reversal of 10022001002100 is 120010022001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31206141 + ... + 31525659.

Almost surely, 2^{10022001002100} is an apocalyptic number.

10022001002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022001002100 is an abundant number, since it is smaller than the sum of its proper divisors (22199750562700).

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

10022001002100 is a wasteful number, since it uses less digits than its factorization.

10022001002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331159 (or 331146 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10022001002100 its reverse (120010022001), we get a palindrome (10142011024101).

The spelling of 10022001002100 in words is "ten trillion, twenty-two billion, one million, two thousand, one hundred".