122200211021100 has 144 divisors (see below), whose sum is σ = 354282660604320. Its totient is φ = 32520718540800.

The previous prime is 122200211021071. The next prime is 122200211021153. The reversal of 122200211021100 is 1120112002221.

It is a super-3 number, since 3×122200211021100³ (a number of 43 digits) contains 333 as substring.

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 122200211021100.

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, 375573286 + ... + 375898514.

Almost surely, 2^{122200211021100} is an apocalyptic number.

122200211021100 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 122200211021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177141330302160).

122200211021100 is an abundant number, since it is smaller than the sum of its proper divisors (232082449583220).

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

122200211021100 is a wasteful number, since it uses less digits than its factorization.

122200211021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327780 (or 327773 counting only the distinct ones).

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

Adding to 122200211021100 its reverse (1120112002221), we get a palindrome (123320323023321).

The spelling of 122200211021100 in words is "one hundred twenty-two trillion, two hundred billion, two hundred eleven million, twenty-one thousand, one hundred".