10101122122122 has 12 divisors (see below), whose sum is σ = 21885764597970. Its totient is φ = 3367040707368.

The previous prime is 10101122122111. The next prime is 10101122122139. The reversal of 10101122122122 is 22122122110101.

It can be written as a sum of positive squares in only one way, i.e., 10099868324841 + 1253797281 = 3178029^2 + 35409^2 .

It is a super-3 number, since 3×10101122122122³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 561173451229 = 10101122122122 / (1 + 0 + 1 + 0 + 1 + 1 + 2 + 2 + 1 + 2 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10101122122095 and 10101122122104.

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 5 ways as a sum of consecutive naturals, for example, 280586725597 + ... + 280586725632.

Almost surely, 2^{10101122122122} is an apocalyptic number.

10101122122122 is an abundant number, since it is smaller than the sum of its proper divisors (11784642475848).

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

10101122122122 is a wasteful number, since it uses less digits than its factorization.

10101122122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561173451237 (or 561173451234 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10101122122122 its reverse (22122122110101), we get a palindrome (32223244232223).

The spelling of 10101122122122 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".