2101102121 has 16 divisors (see below), whose sum is σ = 2148022800. Its totient is φ = 2054857728.

The previous prime is 2101102093. The next prime is 2101102123. The reversal of 2101102121 is 1212011012.

It can be written as a sum of positive squares in 8 ways, for example, as 820249600 + 1280852521 = 28640^2 + 35789^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101102121 - 2²² = 2096907817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2101102123) 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, 5136965 + ... + 5137373.

It is an arithmetic number, because the mean of its divisors is an integer number (134251425).

Almost surely, 2^2101102121 is an apocalyptic number.

It is an amenable number.

2101102121 is a deficient number, since it is larger than the sum of its proper divisors (46920679).

2101102121 is a wasteful number, since it uses less digits than its factorization.

2101102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2101102121 is about 45837.7804981873. The cubic root of 2101102121 is about 1280.8031501240.

Adding to 2101102121 its reverse (1212011012), we get a palindrome (3313113133).

The spelling of 2101102121 in words is "two billion, one hundred one million, one hundred two thousand, one hundred twenty-one".