10101100121 has 16 divisors (see below), whose sum is σ = 11582328576. Its totient is φ = 8629479936.

The previous prime is 10101100117. The next prime is 10101100127. The reversal of 10101100121 is 12100110101.

It is a happy number.

It is not a de Polignac number, because 10101100121 - 2² = 10101100117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101100099 and 10101100108.

It is not an unprimeable number, because it can be changed into a prime (10101100127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3138305 + ... + 3141521.

It is an arithmetic number, because the mean of its divisors is an integer number (723895536).

Almost surely, 2^10101100121 is an apocalyptic number.

It is an amenable number.

10101100121 is a deficient number, since it is larger than the sum of its proper divisors (1481228455).

10101100121 is an equidigital number, since it uses as much as digits as its factorization.

10101100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568.

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

Adding to 10101100121 its reverse (12100110101), we get a palindrome (22201210222).

The spelling of 10101100121 in words is "ten billion, one hundred one million, one hundred thousand, one hundred twenty-one".