102201221001000 has 128 divisors (see below), whose sum is σ = 347855792319360. Its totient is φ = 24776053568000.

The previous prime is 102201221000959. The next prime is 102201221001001. The reversal of 102201221001000 is 100122102201.

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

It is not an unprimeable number, because it can be changed into a prime (102201221001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1548470349 + ... + 1548536348.

It is an arithmetic number, because the mean of its divisors is an integer number (2717623377495).

Almost surely, 2^{102201221001000} is an apocalyptic number.

102201221001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201221001000 is an abundant number, since it is smaller than the sum of its proper divisors (245654571318360).

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

102201221001000 is a wasteful number, since it uses less digits than its factorization.

102201221001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097006732 (or 3097006718 counting only the distinct ones).

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

Adding to 102201221001000 its reverse (100122102201), we get a palindrome (102301343103201).

The spelling of 102201221001000 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-one million, one thousand".