10121100121 has 4 divisors (see below), whose sum is σ = 11041200144. Its totient is φ = 9201000100.

The previous prime is 10121100107. The next prime is 10121100149. The reversal of 10121100121 is 12100112101.

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 10121100121 - 2⁷ = 10121099993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121100098 and 10121100107.

It is not an unprimeable number, because it can be changed into a prime (10121100191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 460049995 + ... + 460050016.

It is an arithmetic number, because the mean of its divisors is an integer number (2760300036).

Almost surely, 2^10121100121 is an apocalyptic number.

10121100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121100121 is a deficient number, since it is larger than the sum of its proper divisors (920100023).

10121100121 is an equidigital number, since it uses as much as digits as its factorization.

10121100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920100022.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121100121 its reverse (12100112101), we get a palindrome (22221212222).

The spelling of 10121100121 in words is "ten billion, one hundred twenty-one million, one hundred thousand, one hundred twenty-one".