1010323102100 has 36 divisors (see below), whose sum is σ = 2361047375484. Its totient is φ = 373042375680.

The previous prime is 1010323102099. The next prime is 1010323102123. The reversal of 1010323102100 is 12013230101.

It can be written as a sum of positive squares in 6 ways, for example, as 332552902276 + 677770199824 = 576674^2 + 823268^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388584509 + ... + 388587108.

It is an arithmetic number, because the mean of its divisors is an integer number (65584649319).

Almost surely, 2^{1010323102100} is an apocalyptic number.

1010323102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010323102100 is an abundant number, since it is smaller than the sum of its proper divisors (1350724273384).

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

1010323102100 is a wasteful number, since it uses less digits than its factorization.

1010323102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777171644 (or 777171637 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010323102100 its reverse (12013230101), we get a palindrome (1022336332201).

The spelling of 1010323102100 in words is "one trillion, ten billion, three hundred twenty-three million, one hundred two thousand, one hundred".