2102202000 has 120 divisors (see below), whose sum is σ = 7342353720. Its totient is φ = 560582400.

The previous prime is 2102201989. The next prime is 2102202007. The reversal of 2102202000 is 2022012.

It can be written as a sum of positive squares in 4 ways, for example, as 612859536 + 1489342464 = 24756^2 + 38592^2 .

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 not an unprimeable number, because it can be changed into a prime (2102202007) 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, 40395 + ... + 76394.

It is an arithmetic number, because the mean of its divisors is an integer number (61186281).

Almost surely, 2^2102202000 is an apocalyptic number.

2102202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102202000 is an abundant number, since it is smaller than the sum of its proper divisors (5240151720).

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

2102202000 is a wasteful number, since it uses less digits than its factorization.

2102202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116818 (or 116799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2102202000 is about 45849.7764443841. The cubic root of 2102202000 is about 1281.0266015423.

Adding to 2102202000 its reverse (2022012), we get a palindrome (2104224012).

The spelling of 2102202000 in words is "two billion, one hundred two million, two hundred two thousand".