10211001012121 has 16 divisors (see below), whose sum is σ = 12572236551168. Its totient is φ = 8075915467200.

The previous prime is 10211001012077. The next prime is 10211001012193. The reversal of 10211001012121 is 12121010011201.

It is a happy number.

It is not a de Polignac number, because 10211001012121 - 2¹⁷ = 10211000881049 is a prime.

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 (10211061012121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21417790 + ... + 21889351.

It is an arithmetic number, because the mean of its divisors is an integer number (785764784448).

Almost surely, 2^{10211001012121} is an apocalyptic number.

It is an amenable number.

10211001012121 is a deficient number, since it is larger than the sum of its proper divisors (2361235539047).

10211001012121 is a wasteful number, since it uses less digits than its factorization.

10211001012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43309752.

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

Adding to 10211001012121 its reverse (12121010011201), we get a palindrome (22332011023322).

The spelling of 10211001012121 in words is "ten trillion, two hundred eleven billion, one million, twelve thousand, one hundred twenty-one".