102222002001000 has 512 divisors, whose sum is σ = 373509576760320. Its totient is φ = 22787518464000.

The previous prime is 102222002000981. The next prime is 102222002001017. The reversal of 102222002001000 is 100200222201.

102222002001000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2800814752 + ... + 2800851248.

It is an arithmetic number, because the mean of its divisors is an integer number (729510892110).

Almost surely, 2^{102222002001000} is an apocalyptic number.

102222002001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222002001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186754788380160).

102222002001000 is an abundant number, since it is smaller than the sum of its proper divisors (271287574759320).

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

102222002001000 is a wasteful number, since it uses less digits than its factorization.

102222002001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39822 (or 39808 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102222002001000 its reverse (100200222201), we get a palindrome (102322202223201).

The spelling of 102222002001000 in words is "one hundred two trillion, two hundred twenty-two billion, two million, one thousand".