102200201202100 has 72 divisors (see below), whose sum is σ = 234822305285568. Its totient is φ = 38474990784000.

The previous prime is 102200201202097. The next prime is 102200201202103. The reversal of 102200201202100 is 1202102002201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102200201202097) and next prime (102200201202103).

It is a super-2 number, since 2×102200201202100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200201202103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220855569 + ... + 221317831.

It is an arithmetic number, because the mean of its divisors is an integer number (3261420906744).

Almost surely, 2^{102200201202100} is an apocalyptic number.

102200201202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200201202100 is an abundant number, since it is smaller than the sum of its proper divisors (132622104083468).

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

102200201202100 is a wasteful number, since it uses less digits than its factorization.

102200201202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592345 (or 592338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102200201202100 its reverse (1202102002201), we get a palindrome (103402303204301).

The spelling of 102200201202100 in words is "one hundred two trillion, two hundred billion, two hundred one million, two hundred two thousand, one hundred".