101020002002122 has 64 divisors (see below), whose sum is σ = 186175745556480. Its totient is φ = 40141788316416.

The previous prime is 101020002002107. The next prime is 101020002002147. The reversal of 101020002002122 is 221200200020101.

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 31 ways as a sum of consecutive naturals, for example, 515396983 + ... + 515592949.

It is an arithmetic number, because the mean of its divisors is an integer number (2908996024320).

Almost surely, 2^{101020002002122} is an apocalyptic number.

101020002002122 is a deficient number, since it is larger than the sum of its proper divisors (85155743554358).

101020002002122 is a wasteful number, since it uses less digits than its factorization.

101020002002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237275.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101020002002122 its reverse (221200200020101), we get a palindrome (322220202022223).

The spelling of 101020002002122 in words is "one hundred one trillion, twenty billion, two million, two thousand, one hundred twenty-two".