10100211101121 has 4 divisors (see below), whose sum is σ = 13466948134832. Its totient is φ = 6733474067412.

The previous prime is 10100211101111. The next prime is 10100211101147. The reversal of 10100211101121 is 12110111200101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10100211101121 - 2³⁷ = 9962772147649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100211101097 and 10100211101106.

It is not an unprimeable number, because it can be changed into a prime (10100211101111) 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, 1683368516851 + ... + 1683368516856.

It is an arithmetic number, because the mean of its divisors is an integer number (3366737033708).

Almost surely, 2^{10100211101121} is an apocalyptic number.

It is an amenable number.

10100211101121 is a deficient number, since it is larger than the sum of its proper divisors (3366737033711).

10100211101121 is an equidigital number, since it uses as much as digits as its factorization.

10100211101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366737033710.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10100211101121 its reverse (12110111200101), we get a palindrome (22210322301222).

The spelling of 10100211101121 in words is "ten trillion, one hundred billion, two hundred eleven million, one hundred one thousand, one hundred twenty-one".