10102200102200 has 48 divisors (see below), whose sum is σ = 24508815911280. Its totient is φ = 3865189602560.

The previous prime is 10102200102193. The next prime is 10102200102271. The reversal of 10102200102200 is 220100220101.

It is a happy number.

It is a super-3 number, since 3×10102200102200³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1098060629 + ... + 1098069828.

It is an arithmetic number, because the mean of its divisors is an integer number (510600331485).

Almost surely, 2^{10102200102200} is an apocalyptic number.

10102200102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102200102200 is an abundant number, since it is smaller than the sum of its proper divisors (14406615809080).

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

10102200102200 is a wasteful number, since it uses less digits than its factorization.

10102200102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196130496 (or 2196130487 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10102200102200 its reverse (220100220101), we get a palindrome (10322300322301).

The spelling of 10102200102200 in words is "ten trillion, one hundred two billion, two hundred million, one hundred two thousand, two hundred".