10010112001121 has 16 divisors (see below), whose sum is σ = 11367286502400. Its totient is φ = 8757020683008.

The previous prime is 10010112001069. The next prime is 10010112001139. The reversal of 10010112001121 is 12110021101001.

It is a cyclic number.

It is not a de Polignac number, because 10010112001121 - 2³⁴ = 9992932131937 is a prime.

It is a super-2 number, since 2×10010112001121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10010112001151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292351361 + ... + 292385598.

It is an arithmetic number, because the mean of its divisors is an integer number (710455406400).

Almost surely, 2^{10010112001121} is an apocalyptic number.

It is an amenable number.

10010112001121 is a deficient number, since it is larger than the sum of its proper divisors (1357174501279).

10010112001121 is a wasteful number, since it uses less digits than its factorization.

10010112001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584737048.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10010112001121 its reverse (12110021101001), we get a palindrome (22120133102122).

The spelling of 10010112001121 in words is "ten trillion, ten billion, one hundred twelve million, one thousand, one hundred twenty-one".