102210101021002 has 16 divisors (see below), whose sum is σ = 165284085578472. Its totient is φ = 47123761106880.

The previous prime is 102210101020901. The next prime is 102210101021069. The reversal of 102210101021002 is 200120101012201.

It can be written as a sum of positive squares in 4 ways, for example, as 85508322079041 + 16701778941961 = 9247071^2 + 4086781^2 .

It is a super-3 number, since 3×102210101021002³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 7 ways as a sum of consecutive naturals, for example, 2088794733 + ... + 2088843664.

Almost surely, 2^{102210101021002} is an apocalyptic number.

102210101021002 is a deficient number, since it is larger than the sum of its proper divisors (63073984557470).

102210101021002 is a wasteful number, since it uses less digits than its factorization.

102210101021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177639353.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102210101021002 its reverse (200120101012201), we get a palindrome (302330202033203).

The spelling of 102210101021002 in words is "one hundred two trillion, two hundred ten billion, one hundred one million, twenty-one thousand, two".