12002021022100 has 18 divisors (see below), whose sum is σ = 26044385618174. Its totient is φ = 4800808408800.

The previous prime is 12002021022077. The next prime is 12002021022109. The reversal of 12002021022100 is 122012020021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 990653939856 + 11011367082244 = 995316^2 + 3318338^2 .

It is a super-2 number, since 2×12002021022100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002021022109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60010105011 + ... + 60010105210.

Almost surely, 2^{12002021022100} is an apocalyptic number.

12002021022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002021022100 is an abundant number, since it is smaller than the sum of its proper divisors (14042364596074).

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

12002021022100 is a wasteful number, since it uses less digits than its factorization.

12002021022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120020210235 (or 120020210228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12002021022100 its reverse (122012020021), we get a palindrome (12124033042121).

The spelling of 12002021022100 in words is "twelve trillion, two billion, twenty-one million, twenty-two thousand, one hundred".