102020100001000 has 64 divisors (see below), whose sum is σ = 252769800750480. Its totient is φ = 38407567052800.

The previous prime is 102020100000989. The next prime is 102020100001007. The reversal of 102020100001000 is 100001020201.

It can be written as a sum of positive squares in 8 ways, for example, as 2589247864996 + 99430852136004 = 1609114^2 + 9971502^2 .

It is not an unprimeable number, because it can be changed into a prime (102020100001007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3000574177 + ... + 3000608176.

Almost surely, 2^{102020100001000} is an apocalyptic number.

102020100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020100001000 is an abundant number, since it is smaller than the sum of its proper divisors (150749700749480).

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

102020100001000 is a wasteful number, since it uses less digits than its factorization.

102020100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6001182391 (or 6001182377 counting only the distinct ones).

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

Adding to 102020100001000 its reverse (100001020201), we get a palindrome (102120101021201).

The spelling of 102020100001000 in words is "one hundred two trillion, twenty billion, one hundred million, one thousand".