100012012101121 has 4 divisors (see below), whose sum is σ = 100153072767700. Its totient is φ = 99870951434544.

The previous prime is 100012012101061. The next prime is 100012012101173. The reversal of 100012012101121 is 121101210210001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 18209755409521 + 81802256691600 = 4267289^2 + 9044460^2 .

It is a cyclic number.

It is not a de Polignac number, because 100012012101121 - 2⁷ = 100012012100993 is a prime.

It is a super-2 number, since 2×100012012101121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012012101721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70530332226 + ... + 70530333643.

It is an arithmetic number, because the mean of its divisors is an integer number (25038268191925).

Almost surely, 2^{100012012101121} is an apocalyptic number.

It is an amenable number.

100012012101121 is a deficient number, since it is larger than the sum of its proper divisors (141060666579).

100012012101121 is an equidigital number, since it uses as much as digits as its factorization.

100012012101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141060666578.

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

Adding to 100012012101121 its reverse (121101210210001), we get a palindrome (221113222311122).

The spelling of 100012012101121 in words is "one hundred trillion, twelve billion, twelve million, one hundred one thousand, one hundred twenty-one".