1020100002000 has 160 divisors (see below), whose sum is σ = 3431794279680. Its totient is φ = 260199385600.

The previous prime is 1020100001993. The next prime is 1020100002001. The reversal of 1020100002000 is 2000010201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1020100002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020100002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3558015 + ... + 3834014.

It is an arithmetic number, because the mean of its divisors is an integer number (21448714248).

Almost surely, 2^{1020100002000} is an apocalyptic number.

1020100002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020100002000 is an abundant number, since it is smaller than the sum of its proper divisors (2411694277680).

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

1020100002000 is a wasteful number, since it uses less digits than its factorization.

1020100002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392078 (or 7392062 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 1020100002000 its reverse (2000010201), we get a palindrome (1022100012201).

The spelling of 1020100002000 in words is "one trillion, twenty billion, one hundred million, two thousand".