1002012200100 has 54 divisors (see below), whose sum is σ = 3140751576690. Its totient is φ = 267203253120.

The previous prime is 1002012200071. The next prime is 1002012200129. The reversal of 1002012200100 is 10022102001.

It is an interprime number because it is at equal distance from previous prime (1002012200071) and next prime (1002012200129).

It can be written as a sum of positive squares in 3 ways, for example, as 206804838564 + 795207361536 = 454758^2 + 891744^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 556672545 + ... + 556674344.

It is an arithmetic number, because the mean of its divisors is an integer number (58162066235).

Almost surely, 2^{1002012200100} is an apocalyptic number.

1002012200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002012200100 is an abundant number, since it is smaller than the sum of its proper divisors (2138739376590).

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

1002012200100 is a wasteful number, since it uses less digits than its factorization.

1002012200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113346909 (or 1113346899 counting only the distinct ones).

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

Adding to 1002012200100 its reverse (10022102001), we get a palindrome (1012034302101).

The spelling of 1002012200100 in words is "one trillion, two billion, twelve million, two hundred thousand, one hundred".