10001120211121 has 16 divisors (see below), whose sum is σ = 11239128561024. Its totient is φ = 8830097172864.

The previous prime is 10001120211091. The next prime is 10001120211161. The reversal of 10001120211121 is 12111202110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10001120211121 - 2³¹ = 9998972727473 is a prime.

It is a super-2 number, since 2×10001120211121² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10001120211161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7757725 + ... + 8954581.

It is an arithmetic number, because the mean of its divisors is an integer number (702445535064).

Almost surely, 2^{10001120211121} is an apocalyptic number.

It is an amenable number.

10001120211121 is a deficient number, since it is larger than the sum of its proper divisors (1238008349903).

10001120211121 is a wasteful number, since it uses less digits than its factorization.

10001120211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224840.

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

Adding to 10001120211121 its reverse (12111202110001), we get a palindrome (22112322321122).

The spelling of 10001120211121 in words is "ten trillion, one billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-one".