102221002001000 has 32 divisors (see below), whose sum is σ = 239197144684680. Its totient is φ = 40888400800000.

The previous prime is 102221002000907. The next prime is 102221002001003. The reversal of 102221002001000 is 100200122201.

It is a happy number.

102221002001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28570243672996 + 73650758328004 = 5345114^2 + 8582002^2 .

It is not an unprimeable number, because it can be changed into a prime (102221002001003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51110500001 + ... + 51110502000.

Almost surely, 2^{102221002001000} is an apocalyptic number.

102221002001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221002001000 is an abundant number, since it is smaller than the sum of its proper divisors (136976142683680).

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

102221002001000 is a wasteful number, since it uses less digits than its factorization.

102221002001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102221002022 (or 102221002008 counting only the distinct ones).

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

Adding to 102221002001000 its reverse (100200122201), we get a palindrome (102321202123201).

The spelling of 102221002001000 in words is "one hundred two trillion, two hundred twenty-one billion, two million, one thousand".