1020102002100 has 54 divisors (see below), whose sum is σ = 3197453056070. Its totient is φ = 272027200320.

The previous prime is 1020102002093. The next prime is 1020102002119. The reversal of 1020102002100 is 12002010201.

It can be written as a sum of positive squares in 3 ways, for example, as 17756628516 + 1002345373584 = 133254^2 + 1001172^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 566722435 + ... + 566724234.

Almost surely, 2^{1020102002100} is an apocalyptic number.

1020102002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020102002100 is an abundant number, since it is smaller than the sum of its proper divisors (2177351053970).

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

1020102002100 is a wasteful number, since it uses less digits than its factorization.

1020102002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133446689 (or 1133446679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020102002100 its reverse (12002010201), we get a palindrome (1032104012301).

The spelling of 1020102002100 in words is "one trillion, twenty billion, one hundred two million, two thousand, one hundred".