10100111121 has 6 divisors (see below), whose sum is σ = 14589049410. Its totient is φ = 6733407408.

The previous prime is 10100111113. The next prime is 10100111137. The reversal of 10100111121 is 12111100101.

It can be written as a sum of positive squares in only one way, i.e., 10085180625 + 14930496 = 100425^2 + 3864^2 .

It is not a de Polignac number, because 10100111121 - 2³ = 10100111113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122234569 = 10100111121 / (1 + 0 + 1 + 0 + 0 + 1 + 1 + 1 + 1 + 2 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100111101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561117276 + ... + 561117293.

It is an arithmetic number, because the mean of its divisors is an integer number (2431508235).

Almost surely, 2^10100111121 is an apocalyptic number.

It is an amenable number.

10100111121 is a deficient number, since it is larger than the sum of its proper divisors (4488938289).

10100111121 is a wasteful number, since it uses less digits than its factorization.

10100111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122234575 (or 1122234572 counting only the distinct ones).

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

Adding to 10100111121 its reverse (12111100101), we get a palindrome (22211211222).

The spelling of 10100111121 in words is "ten billion, one hundred million, one hundred eleven thousand, one hundred twenty-one".