10101100012122 has 64 divisors (see below), whose sum is σ = 23299520348160. Its totient is φ = 2859632396544.

The previous prime is 10101100011943. The next prime is 10101100012181. The reversal of 10101100012122 is 22121000110101.

It is a junction number, because it is equal to n+sod(n) for n = 10101100012098 and 10101100012107.

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, 15625003 + ... + 16258625.

It is an arithmetic number, because the mean of its divisors is an integer number (364055005440).

Almost surely, 2^{10101100012122} is an apocalyptic number.

10101100012122 is an abundant number, since it is smaller than the sum of its proper divisors (13198420336038).

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

10101100012122 is a wasteful number, since it uses less digits than its factorization.

10101100012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637107.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10101100012122 its reverse (22121000110101), we get a palindrome (32222100122223).

The spelling of 10101100012122 in words is "ten trillion, one hundred one billion, one hundred million, twelve thousand, one hundred twenty-two".