1002100201000 has 64 divisors (see below), whose sum is σ = 2350138050000. Its totient is φ = 399947161600.

The previous prime is 1002100200961. The next prime is 1002100201049. The reversal of 1002100201000 is 1020012001.

It can be written as a sum of positive squares in 8 ways, for example, as 751746724 + 1001348454276 = 27418^2 + 1000674^2 .

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 15 ways as a sum of consecutive naturals, for example, 666925 + ... + 1564924.

Almost surely, 2^{1002100201000} is an apocalyptic number.

1002100201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002100201000 is an abundant number, since it is smaller than the sum of its proper divisors (1348037849000).

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

1002100201000 is a wasteful number, since it uses less digits than its factorization.

1002100201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232319 (or 2232305 counting only the distinct ones).

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

Adding to 1002100201000 its reverse (1020012001), we get a palindrome (1003120213001).

The spelling of 1002100201000 in words is "one trillion, two billion, one hundred million, two hundred one thousand".