12101022212100 has 144 divisors (see below), whose sum is σ = 36882839347200. Its totient is φ = 3054794670720.

The previous prime is 12101022212057. The next prime is 12101022212113. The reversal of 12101022212100 is 121222010121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12101022212100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6763981 + ... + 8363819.

It is an arithmetic number, because the mean of its divisors is an integer number (256130828800).

Almost surely, 2^{12101022212100} is an apocalyptic number.

12101022212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101022212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18441419673600).

12101022212100 is an abundant number, since it is smaller than the sum of its proper divisors (24781817135100).

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

12101022212100 is a wasteful number, since it uses less digits than its factorization.

12101022212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601202 (or 1601195 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12101022212100 its reverse (121222010121), we get a palindrome (12222244222221).

The spelling of 12101022212100 in words is "twelve trillion, one hundred one billion, twenty-two million, two hundred twelve thousand, one hundred".