2101121121 has 16 divisors (see below), whose sum is σ = 3063287808. Its totient is φ = 1270443600.

The previous prime is 2101121107. The next prime is 2101121129. The reversal of 2101121121 is 1211211012.

It is not a de Polignac number, because 2101121121 - 2⁵ = 2101121089 is a prime.

It is a super-2 number, since 2×2101121121² = 8829419930224593282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101121097 and 2101121106.

It is not an unprimeable number, because it can be changed into a prime (2101121129) 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, 59641 + ... + 88086.

It is an arithmetic number, because the mean of its divisors is an integer number (191455488).

Almost surely, 2^2101121121 is an apocalyptic number.

It is an amenable number.

2101121121 is a deficient number, since it is larger than the sum of its proper divisors (962166687).

2101121121 is a wasteful number, since it uses less digits than its factorization.

2101121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148172.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2101121121 is about 45837.9877503365. The cubic root of 2101121121 is about 1280.8070108258.

Adding to 2101121121 its reverse (1211211012), we get a palindrome (3312332133).

The spelling of 2101121121 in words is "two billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-one".