2102202012100 has 18 divisors (see below), whose sum is σ = 4561778366474. Its totient is φ = 840880804800.

The previous prime is 2102202012083. The next prime is 2102202012143. The reversal of 2102202012100 is 12102022012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 63697683456 + 2038504328644 = 252384^2 + 1427762^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 10511009961 + ... + 10511010160.

Almost surely, 2^{2102202012100} is an apocalyptic number.

2102202012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102202012100 is an abundant number, since it is smaller than the sum of its proper divisors (2459576354374).

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

2102202012100 is a wasteful number, since it uses less digits than its factorization.

2102202012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21022020135 (or 21022020128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2102202012100 its reverse (12102022012), we get a palindrome (2114304034112).

The spelling of 2102202012100 in words is "two trillion, one hundred two billion, two hundred two million, twelve thousand, one hundred".