10122212102002 has 128 divisors (see below), whose sum is σ = 20644084113408. Its totient is φ = 3594465504000.

The previous prime is 10122212101993. The next prime is 10122212102017. The reversal of 10122212102002 is 20020121222101.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 74139933 + ... + 74276335.

It is an arithmetic number, because the mean of its divisors is an integer number (161281907136).

Almost surely, 2^{10122212102002} is an apocalyptic number.

10122212102002 is an abundant number, since it is smaller than the sum of its proper divisors (10521872011406).

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

10122212102002 is a wasteful number, since it uses less digits than its factorization.

10122212102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136904.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122212102002 its reverse (20020121222101), we get a palindrome (30142333324103).

The spelling of 10122212102002 in words is "ten trillion, one hundred twenty-two billion, two hundred twelve million, one hundred two thousand, two".