102102012002000 has 160 divisors (see below), whose sum is σ = 264342319356960. Its totient is φ = 38006511206400.

The previous prime is 102102012001987. The next prime is 102102012002057. The reversal of 102102012002000 is 200210201201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 82691960494144 + 19410051507856 = 9093512^2 + 4405684^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13844789 + ... + 19896788.

It is an arithmetic number, because the mean of its divisors is an integer number (1652139495981).

Almost surely, 2^{102102012002000} is an apocalyptic number.

102102012002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102012002000 is an abundant number, since it is smaller than the sum of its proper divisors (162240307354960).

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

102102012002000 is a wasteful number, since it uses less digits than its factorization.

102102012002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33741706 (or 33741690 counting only the distinct ones).

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

Adding to 102102012002000 its reverse (200210201201), we get a palindrome (102302222203201).

The spelling of 102102012002000 in words is "one hundred two trillion, one hundred two billion, twelve million, two thousand".