10202012010100 has 18 divisors (see below), whose sum is σ = 22138366062134. Its totient is φ = 4080804804000.

The previous prime is 10202012010077. The next prime is 10202012010119. The reversal of 10202012010100 is 101021020201.

10202012010100 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 2388712438116 + 7813299571984 = 1545546^2 + 2795228^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51010059951 + ... + 51010060150.

Almost surely, 2^{10202012010100} is an apocalyptic number.

10202012010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202012010100 is an abundant number, since it is smaller than the sum of its proper divisors (11936354052034).

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

10202012010100 is a wasteful number, since it uses less digits than its factorization.

10202012010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102020120115 (or 102020120108 counting only the distinct ones).

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

Adding to 10202012010100 its reverse (101021020201), we get a palindrome (10303033030301).

The spelling of 10202012010100 in words is "ten trillion, two hundred two billion, twelve million, ten thousand, one hundred".