1200012102100 has 54 divisors (see below), whose sum is σ = 3029173418670. Its totient is φ = 411432719040.

The previous prime is 1200012102011. The next prime is 1200012102103. The reversal of 1200012102100 is 12012100021.

It can be written as a sum of positive squares in 3 ways, for example, as 26369212996 + 1173642889104 = 162386^2 + 1083348^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200012102103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122445315 + ... + 122455114.

Almost surely, 2^{1200012102100} is an apocalyptic number.

1200012102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200012102100 is an abundant number, since it is smaller than the sum of its proper divisors (1829161316570).

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

1200012102100 is a wasteful number, since it uses less digits than its factorization.

1200012102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244900457 (or 244900443 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1200012102100 its reverse (12012100021), we get a palindrome (1212024202121).

The spelling of 1200012102100 in words is "one trillion, two hundred billion, twelve million, one hundred two thousand, one hundred".