10002202100100 has 216 divisors, whose sum is σ = 36164973918528. Its totient is φ = 2264850950400.

The previous prime is 10002202100029. The next prime is 10002202100113. The reversal of 10002202100100 is 100120220001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6744831 + ... + 8093030.

It is an arithmetic number, because the mean of its divisors is an integer number (167430434808).

Almost surely, 2^{10002202100100} is an apocalyptic number.

10002202100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002202100100 is an abundant number, since it is smaller than the sum of its proper divisors (26162771818428).

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

10002202100100 is a wasteful number, since it uses less digits than its factorization.

10002202100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14837995 (or 14837985 counting only the distinct ones).

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

Adding to 10002202100100 its reverse (100120220001), we get a palindrome (10102322320101).

The spelling of 10002202100100 in words is "ten trillion, two billion, two hundred two million, one hundred thousand, one hundred".