121200010211100 has 144 divisors (see below), whose sum is σ = 354588446824416. Its totient is φ = 31959845760000.

The previous prime is 121200010211081. The next prime is 121200010211141. The reversal of 121200010211100 is 1112010002121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 21639690 + ... + 26658510.

It is an arithmetic number, because the mean of its divisors is an integer number (2462419769614).

Almost surely, 2^{121200010211100} is an apocalyptic number.

121200010211100 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 121200010211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177294223412208).

121200010211100 is an abundant number, since it is smaller than the sum of its proper divisors (233388436613316).

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

121200010211100 is a wasteful number, since it uses less digits than its factorization.

121200010211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019736 (or 5019729 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121200010211100 its reverse (1112010002121), we get a palindrome (122312020213221).

It can be divided in two parts, 12120001021 and 1100, that added together give a palindrome (12120002121).

The spelling of 121200010211100 in words is "one hundred twenty-one trillion, two hundred billion, ten million, two hundred eleven thousand, one hundred".