10002101122200 has 192 divisors, whose sum is σ = 33976975334400. Its totient is φ = 2413878105600.

The previous prime is 10002101122177. The next prime is 10002101122217. The reversal of 10002101122200 is 222110120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1926115 + ... + 4869714.

It is an arithmetic number, because the mean of its divisors is an integer number (176963413200).

Almost surely, 2^{10002101122200} is an apocalyptic number.

10002101122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002101122200 is an abundant number, since it is smaller than the sum of its proper divisors (23974874212200).

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

10002101122200 is a wasteful number, since it uses less digits than its factorization.

10002101122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796082 (or 6796073 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002101122200 its reverse (222110120001), we get a palindrome (10224211242201).

The spelling of 10002101122200 in words is "ten trillion, two billion, one hundred one million, one hundred twenty-two thousand, two hundred".