122021110101200 has 30 divisors (see below), whose sum is σ = 293155717019094. Its totient is φ = 48808444040320.

The previous prime is 122021110101167. The next prime is 122021110101239. The reversal of 122021110101200 is 2101011120221.

It can be written as a sum of positive squares in 3 ways, for example, as 35049146933824 + 86971963167376 = 5920232^2 + 9325876^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 152526387227 + ... + 152526388026.

Almost surely, 2^{122021110101200} is an apocalyptic number.

122021110101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021110101200 is an abundant number, since it is smaller than the sum of its proper divisors (171134606917894).

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

122021110101200 is a wasteful number, since it uses less digits than its factorization.

122021110101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305052775271 (or 305052775260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122021110101200 its reverse (2101011120221), we get a palindrome (124122121221421).

The spelling of 122021110101200 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred ten million, one hundred one thousand, two hundred".