121122100122100 has 288 divisors, whose sum is σ = 328493827049472. Its totient is φ = 37659885120000.

The previous prime is 121122100122097. The next prime is 121122100122137. The reversal of 121122100122100 is 1221001221121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5715722505 + ... + 5715743695.

It is an arithmetic number, because the mean of its divisors is an integer number (1140603566144).

Almost surely, 2^{121122100122100} is an apocalyptic number.

121122100122100 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 121122100122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164246913524736).

121122100122100 is an abundant number, since it is smaller than the sum of its proper divisors (207371726927372).

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

121122100122100 is a wasteful number, since it uses less digits than its factorization.

121122100122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23007 (or 23000 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121122100122100 its reverse (1221001221121), we get a palindrome (122343101343221).

The spelling of 121122100122100 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred".