10100012211121 has 24 divisors (see below), whose sum is σ = 12183135221184. Its totient is φ = 8200995374880.

The previous prime is 10100012211071. The next prime is 10100012211199. The reversal of 10100012211121 is 12111221000101.

It is a happy number.

It is not a de Polignac number, because 10100012211121 - 2¹⁷ = 10100012080049 is a prime.

It is a super-2 number, since 2×10100012211121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100012214121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42747691 + ... + 42983311.

It is an arithmetic number, because the mean of its divisors is an integer number (507630634216).

Almost surely, 2^{10100012211121} is an apocalyptic number.

It is an amenable number.

10100012211121 is a deficient number, since it is larger than the sum of its proper divisors (2083123010063).

10100012211121 is a wasteful number, since it uses less digits than its factorization.

10100012211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252629 (or 252610 counting only the distinct ones).

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

Adding to 10100012211121 its reverse (12111221000101), we get a palindrome (22211233211222).

The spelling of 10100012211121 in words is "ten trillion, one hundred billion, twelve million, two hundred eleven thousand, one hundred twenty-one".