102202311002000 has 320 divisors, whose sum is σ = 279085637376000. Its totient is φ = 35862485760000.

The previous prime is 102202311001981. The next prime is 102202311002003. The reversal of 102202311002000 is 200113202201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102202311002003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237803306 + ... + 238232694.

It is an arithmetic number, because the mean of its divisors is an integer number (872142616800).

Almost surely, 2^{102202311002000} is an apocalyptic number.

102202311002000 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 102202311002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139542818688000).

102202311002000 is an abundant number, since it is smaller than the sum of its proper divisors (176883326374000).

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

102202311002000 is a wasteful number, since it uses less digits than its factorization.

102202311002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429803 (or 429787 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102202311002000 its reverse (200113202201), we get a palindrome (102402424204201).

The spelling of 102202311002000 in words is "one hundred two trillion, two hundred two billion, three hundred eleven million, two thousand".