102002010212000 has 96 divisors (see below), whose sum is σ = 251231703362640. Its totient is φ = 40701045964800.

The previous prime is 102002010211943. The next prime is 102002010212023. The reversal of 102002010212000 is 212010200201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 887642853904 + 101114367358096 = 942148^2 + 10055564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29538209 + ... + 32810208.

Almost surely, 2^{102002010212000} is an apocalyptic number.

102002010212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002010212000 is an abundant number, since it is smaller than the sum of its proper divisors (149229693150640).

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

102002010212000 is an equidigital number, since it uses as much as digits as its factorization.

102002010212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62348851 (or 62348833 counting only the distinct ones).

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

Adding to 102002010212000 its reverse (212010200201), we get a palindrome (102214020412201).

The spelling of 102002010212000 in words is "one hundred two trillion, two billion, ten million, two hundred twelve thousand".