122121211001100 has 144 divisors (see below), whose sum is σ = 362895703917600. Its totient is φ = 31684745963520.

The previous prime is 122121211001081. The next prime is 122121211001113. The reversal of 122121211001100 is 1100112121221.

It is a happy number.

122121211001100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 122121211001100.

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, 579192496 + ... + 579403304.

Almost surely, 2^{122121211001100} is an apocalyptic number.

122121211001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121211001100 is an abundant number, since it is smaller than the sum of its proper divisors (240774492916500).

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

122121211001100 is a wasteful number, since it uses less digits than its factorization.

122121211001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263052 (or 263045 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122121211001100 its reverse (1100112121221), we get a palindrome (123221323122321).

The spelling of 122121211001100 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred eleven million, one thousand, one hundred".