122121011021100 has 576 divisors, whose sum is σ = 443127684679680. Its totient is φ = 25281878630400.

The previous prime is 122121011021099. The next prime is 122121011021143. The reversal of 122121011021100 is 1120110121221.

It is a happy number.

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 122121011021100.

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 191 ways as a sum of consecutive naturals, for example, 306297880 + ... + 306696320.

Almost surely, 2^{122121011021100} is an apocalyptic number.

122121011021100 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 122121011021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221563842339840).

122121011021100 is an abundant number, since it is smaller than the sum of its proper divisors (321006673658580).

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

122121011021100 is a wasteful number, since it uses less digits than its factorization.

122121011021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398690 (or 398683 counting only the distinct ones).

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

Adding to 122121011021100 its reverse (1120110121221), we get a palindrome (123241121142321).

The spelling of 122121011021100 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, eleven million, twenty-one thousand, one hundred".