1001100002120 has 32 divisors (see below), whose sum is σ = 2252510278200. Its totient is φ = 400433730048.

The previous prime is 1001100002117. The next prime is 1001100002137. The reversal of 1001100002120 is 212000011001.

It can be written as a sum of positive squares in 4 ways, for example, as 587427207844 + 413672794276 = 766438^2 + 643174^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1001100002098 and 1001100002107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3056876 + ... + 3368484.

Almost surely, 2^{1001100002120} is an apocalyptic number.

1001100002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001100002120 is an abundant number, since it is smaller than the sum of its proper divisors (1251410276080).

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

1001100002120 is a wasteful number, since it uses less digits than its factorization.

1001100002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391937 (or 391933 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001100002120 its reverse (212000011001), we get a palindrome (1213100013121).

The spelling of 1001100002120 in words is "one trillion, one billion, one hundred million, two thousand, one hundred twenty".