102201220221000 has 64 divisors (see below), whose sum is σ = 318867807098880. Its totient is φ = 27253658724800.

The previous prime is 102201220220999. The next prime is 102201220221017. The reversal of 102201220221000 is 122022102201.

It is a super-2 number, since 2×102201220221000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 17033533704 + ... + 17033539703.

It is an arithmetic number, because the mean of its divisors is an integer number (4982309485920).

Almost surely, 2^{102201220221000} is an apocalyptic number.

102201220221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201220221000 is an abundant number, since it is smaller than the sum of its proper divisors (216666586877880).

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

102201220221000 is a wasteful number, since it uses less digits than its factorization.

102201220221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34067073431 (or 34067073417 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102201220221000 its reverse (122022102201), we get a palindrome (102323242323201).

The spelling of 102201220221000 in words is "one hundred two trillion, two hundred one billion, two hundred twenty million, two hundred twenty-one thousand".