102021221012200 has 96 divisors (see below), whose sum is σ = 282871261330560. Its totient is φ = 33457891104000.

The previous prime is 102021221012167. The next prime is 102021221012219. The reversal of 102021221012200 is 2210122120201.

It is a happy number.

It is a super-3 number, since 3×102021221012200³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1584148251 + ... + 1584212650.

It is an arithmetic number, because the mean of its divisors is an integer number (2946575638860).

Almost surely, 2^{102021221012200} is an apocalyptic number.

102021221012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021221012200 is an abundant number, since it is smaller than the sum of its proper divisors (180850040318360).

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

102021221012200 is a wasteful number, since it uses less digits than its factorization.

102021221012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168360947 (or 3168360938 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102021221012200 its reverse (2210122120201), we get a palindrome (104231343132401).

The spelling of 102021221012200 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-one million, twelve thousand, two hundred".