101110100121 has 24 divisors (see below), whose sum is σ = 151689283200. Its totient is φ = 67303401552.

The previous prime is 101110100093. The next prime is 101110100129. The reversal of 101110100121 is 121001011101.

It is not a de Polignac number, because 101110100121 - 2⁹ = 101110099609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101110100129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159921 + ... + 477278.

It is an arithmetic number, because the mean of its divisors is an integer number (6320386800).

Almost surely, 2^101110100121 is an apocalyptic number.

It is an amenable number.

101110100121 is a deficient number, since it is larger than the sum of its proper divisors (50579183079).

101110100121 is an frugal number, since it uses more digits than its factorization.

101110100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637867 (or 637855 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101110100121 its reverse (121001011101), we get a palindrome (222111111222).

The spelling of 101110100121 in words is "one hundred one billion, one hundred ten million, one hundred thousand, one hundred twenty-one".