1100010002120 has 16 divisors (see below), whose sum is σ = 2475022504860. Its totient is φ = 440004000832.

The previous prime is 1100010002093. The next prime is 1100010002129. The reversal of 1100010002120 is 212000100011.

It can be written as a sum of positive squares in 2 ways, for example, as 1097889031204 + 2120970916 = 1047802^2 + 46054^2 .

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 = 1100010002098 and 1100010002107.

It is not an unprimeable number, because it can be changed into a prime (1100010002129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13750124987 + ... + 13750125066.

Almost surely, 2^{1100010002120} is an apocalyptic number.

1100010002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100010002120 is an abundant number, since it is smaller than the sum of its proper divisors (1375012502740).

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

1100010002120 is a wasteful number, since it uses less digits than its factorization.

1100010002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27500250064 (or 27500250060 counting only the distinct ones).

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

Adding to 1100010002120 its reverse (212000100011), we get a palindrome (1312010102131).

The spelling of 1100010002120 in words is "one trillion, one hundred billion, ten million, two thousand, one hundred twenty".