1020202012100 has 18 divisors (see below), whose sum is σ = 2213838366474. Its totient is φ = 408080804800.

The previous prime is 1020202012019. The next prime is 1020202012103. The reversal of 1020202012100 is 12102020201.

It is a happy number.

1020202012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 33072332164 + 987129679936 = 181858^2 + 993544^2 .

It is not an unprimeable number, because it can be changed into a prime (1020202012103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5101009961 + ... + 5101010160.

Almost surely, 2^{1020202012100} is an apocalyptic number.

1020202012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020202012100 is an abundant number, since it is smaller than the sum of its proper divisors (1193636354374).

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

1020202012100 is a wasteful number, since it uses less digits than its factorization.

1020202012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202020135 (or 10202020128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020202012100 its reverse (12102020201), we get a palindrome (1032304032301).

The spelling of 1020202012100 in words is "one trillion, twenty billion, two hundred two million, twelve thousand, one hundred".