1010101002100 has 36 divisors (see below), whose sum is σ = 2191963013548. Its totient is φ = 404032320000.

The previous prime is 1010101002059. The next prime is 1010101002149. The reversal of 1010101002100 is 12001010101.

It can be written as a sum of positive squares in 6 ways, for example, as 102250294756 + 907850707344 = 319766^2 + 952812^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9034540 + ... + 9145660.

Almost surely, 2^{1010101002100} is an apocalyptic number.

1010101002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010101002100 is an abundant number, since it is smaller than the sum of its proper divisors (1181862011448).

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

1010101002100 is a wasteful number, since it uses less digits than its factorization.

1010101002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202036 (or 202029 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010101002100 its reverse (12001010101), we get a palindrome (1022102012201).

The spelling of 1010101002100 in words is "one trillion, ten billion, one hundred one million, two thousand, one hundred".