2121102000 has 120 divisors (see below), whose sum is σ = 7408365120. Its totient is φ = 565622400.

The previous prime is 2121101999. The next prime is 2121102001. The reversal of 2121102000 is 2011212.

It is an interprime number because it is at equal distance from previous prime (2121101999) and next prime (2121102001).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121102001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40920 + ... + 76919.

It is an arithmetic number, because the mean of its divisors is an integer number (61736376).

Almost surely, 2^2121102000 is an apocalyptic number.

2121102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121102000 is an abundant number, since it is smaller than the sum of its proper divisors (5287263120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121102000 is a wasteful number, since it uses less digits than its factorization.

2121102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117868 (or 117849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2121102000 is about 46055.4231334378. The cubic root of 2121102000 is about 1284.8542078485.

Adding to 2121102000 its reverse (2011212), we get a palindrome (2123113212).

The spelling of 2121102000 in words is "two billion, one hundred twenty-one million, one hundred two thousand".