10102202102102 has 64 divisors (see below), whose sum is σ = 17437177110528. Its totient is φ = 4347447264000.

The previous prime is 10102202102099. The next prime is 10102202102107. The reversal of 10102202102102 is 20120120220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102202102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12387077 + ... + 13177407.

It is an arithmetic number, because the mean of its divisors is an integer number (272455892352).

Almost surely, 2^{10102202102102} is an apocalyptic number.

10102202102102 is a deficient number, since it is larger than the sum of its proper divisors (7334975008426).

10102202102102 is a wasteful number, since it uses less digits than its factorization.

10102202102102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790805.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10102202102102 its reverse (20120120220101), we get a palindrome (30222322322203).

The spelling of 10102202102102 in words is "ten trillion, one hundred two billion, two hundred two million, one hundred two thousand, one hundred two".