12000101220100 has 54 divisors (see below), whose sum is σ = 30291684092250. Its totient is φ = 4114320416640.

The previous prime is 12000101220091. The next prime is 12000101220181. The reversal of 12000101220100 is 102210100021.

It can be written as a sum of positive squares in 3 ways, for example, as 2578099077316 + 9422002142784 = 1605646^2 + 3069528^2 .

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

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, 1224495225 + ... + 1224505024.

Almost surely, 2^{12000101220100} is an apocalyptic number.

12000101220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000101220100 is an abundant number, since it is smaller than the sum of its proper divisors (18291582872150).

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

12000101220100 is a wasteful number, since it uses less digits than its factorization.

12000101220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449000277 (or 2449000263 counting only the distinct ones).

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

Adding to 12000101220100 its reverse (102210100021), we get a palindrome (12102311320121).

The spelling of 12000101220100 in words is "twelve trillion, one hundred one million, two hundred twenty thousand, one hundred".