2100101121 has 16 divisors (see below), whose sum is σ = 3112009600. Its totient is φ = 1399730544.

The previous prime is 2100101117. The next prime is 2100101153. The reversal of 2100101121 is 1211010012.

It is a happy number.

It is not a de Polignac number, because 2100101121 - 2² = 2100101117 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161940 + ... + 174426.

It is an arithmetic number, because the mean of its divisors is an integer number (194500600).

It is a Proth number, since it is equal to 32045 ⋅ 2¹⁶ + 1 and 32045 < 2¹⁶.

Almost surely, 2^2100101121 is an apocalyptic number.

It is an amenable number.

2100101121 is a deficient number, since it is larger than the sum of its proper divisors (1011908479).

2100101121 is a wasteful number, since it uses less digits than its factorization.

2100101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18725 (or 18719 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2100101121 is about 45826.8602568406. The cubic root of 2100101121 is about 1280.5997191728.

Adding to 2100101121 its reverse (1211010012), we get a palindrome (3311111133).

The spelling of 2100101121 in words is "two billion, one hundred million, one hundred one thousand, one hundred twenty-one".