10100011121 has 4 divisors (see below), whose sum is σ = 10106491200. Its totient is φ = 10093531044.

The previous prime is 10100011093. The next prime is 10100011147. The reversal of 10100011121 is 12111000101.

It is a happy number.

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 a de Polignac number, because none of the positive numbers 2^k-10100011121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100011099 and 10100011108.

It is not an unprimeable number, because it can be changed into a prime (10100011021) 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, 3237701 + ... + 3240818.

It is an arithmetic number, because the mean of its divisors is an integer number (2526622800).

Almost surely, 2^10100011121 is an apocalyptic number.

It is an amenable number.

10100011121 is a deficient number, since it is larger than the sum of its proper divisors (6480079).

10100011121 is an equidigital number, since it uses as much as digits as its factorization.

10100011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480078.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100011121 its reverse (12111000101), we get a palindrome (22211011222).

The spelling of 10100011121 in words is "ten billion, one hundred million, eleven thousand, one hundred twenty-one".