10100101101121 has 4 divisors (see below), whose sum is σ = 10101182144512. Its totient is φ = 10099020057732.

The previous prime is 10100101101067. The next prime is 10100101101137. The reversal of 10100101101121 is 12110110100101.

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 a cyclic number.

It is not a de Polignac number, because 10100101101121 - 2⁷ = 10100101100993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100101101098 and 10100101101107.

It is not an unprimeable number, because it can be changed into a prime (10100101101221) 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, 540507681 + ... + 540526366.

It is an arithmetic number, because the mean of its divisors is an integer number (2525295536128).

Almost surely, 2^{10100101101121} is an apocalyptic number.

It is an amenable number.

10100101101121 is a deficient number, since it is larger than the sum of its proper divisors (1081043391).

10100101101121 is an equidigital number, since it uses as much as digits as its factorization.

10100101101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081043390.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10100101101121 its reverse (12110110100101), we get a palindrome (22210211201222).

The spelling of 10100101101121 in words is "ten trillion, one hundred billion, one hundred one million, one hundred one thousand, one hundred twenty-one".