2100102121 has 8 divisors (see below), whose sum is σ = 2262511944. Its totient is φ = 1937815680.

The previous prime is 2100102119. The next prime is 2100102127. The reversal of 2100102121 is 1212010012.

It can be written as a sum of positive squares in 4 ways, for example, as 135396496 + 1964705625 = 11636^2 + 44325^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100102121 - 2¹ = 2100102119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100102098 and 2100102107.

It is not an unprimeable number, because it can be changed into a prime (2100102127) 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 7 ways as a sum of consecutive naturals, for example, 6165 + ... + 65101.

It is an arithmetic number, because the mean of its divisors is an integer number (282813993).

Almost surely, 2^2100102121 is an apocalyptic number.

It is an amenable number.

2100102121 is a deficient number, since it is larger than the sum of its proper divisors (162409823).

2100102121 is a wasteful number, since it uses less digits than its factorization.

2100102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61691.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2100102121 is about 45826.8711674712. The cubic root of 2100102121 is about 1280.5999224328.

Adding to 2100102121 its reverse (1212010012), we get a palindrome (3312112133).

The spelling of 2100102121 in words is "two billion, one hundred million, one hundred two thousand, one hundred twenty-one".