1010122011121 has 8 divisors (see below), whose sum is σ = 1022521502720. Its totient is φ = 997791985008.

The previous prime is 1010122011083. The next prime is 1010122011149. The reversal of 1010122011121 is 1211102210101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010122011121 - 2³³ = 1001532076529 is a prime.

It is a super-2 number, since 2×1010122011121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010122012121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17337111 + ... + 17395276.

It is an arithmetic number, because the mean of its divisors is an integer number (127815187840).

Almost surely, 2^{1010122011121} is an apocalyptic number.

It is an amenable number.

1010122011121 is a deficient number, since it is larger than the sum of its proper divisors (12399491599).

1010122011121 is a wasteful number, since it uses less digits than its factorization.

1010122011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34732743.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1010122011121 its reverse (1211102210101), we get a palindrome (2221224221222).

The spelling of 1010122011121 in words is "one trillion, ten billion, one hundred twenty-two million, eleven thousand, one hundred twenty-one".