102012210010002 has 32 divisors (see below), whose sum is σ = 215042004204480. Its totient is φ = 32212053298880.

The previous prime is 102012210009991. The next prime is 102012210010013. The reversal of 102012210010002 is 200010012210201.

It is an interprime number because it is at equal distance from previous prime (102012210009991) and next prime (102012210010013).

It is a super-3 number, since 3×102012210010002³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102012210010002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5530906524 + ... + 5530924967.

It is an arithmetic number, because the mean of its divisors is an integer number (6720062631390).

Almost surely, 2^{102012210010002} is an apocalyptic number.

102012210010002 is an abundant number, since it is smaller than the sum of its proper divisors (113029794194478).

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

102012210010002 is a wasteful number, since it uses less digits than its factorization.

102012210010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11061831578.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102012210010002 its reverse (200010012210201), we get a palindrome (302022222220203).

The spelling of 102012210010002 in words is "one hundred two trillion, twelve billion, two hundred ten million, ten thousand, two".