1010020002100 has 108 divisors (see below), whose sum is σ = 2329403951140. Its totient is φ = 380054937600.

The previous prime is 1010020002053. The next prime is 1010020002107. The reversal of 1010020002100 is 12000200101.

It can be written as a sum of positive squares in 18 ways, for example, as 119435212836 + 890584789264 = 345594^2 + 943708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010020002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67647436 + ... + 67662364.

Almost surely, 2^{1010020002100} is an apocalyptic number.

1010020002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010020002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164701975570).

1010020002100 is an abundant number, since it is smaller than the sum of its proper divisors (1319383949040).

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

1010020002100 is a wasteful number, since it uses less digits than its factorization.

1010020002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17318 (or 17294 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1010020002100 its reverse (12000200101), we get a palindrome (1022020202201).

The spelling of 1010020002100 in words is "one trillion, ten billion, twenty million, two thousand, one hundred".