121120022011100 has 288 divisors, whose sum is σ = 308565042240000. Its totient is φ = 41248438963200.

The previous prime is 121120022011061. The next prime is 121120022011139. The reversal of 121120022011100 is 1110220021121.

It is an interprime number because it is at equal distance from previous prime (121120022011061) and next prime (121120022011139).

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 11735293940 + ... + 11735304260.

Almost surely, 2^{121120022011100} is an apocalyptic number.

121120022011100 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 121120022011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154282521120000).

121120022011100 is an abundant number, since it is smaller than the sum of its proper divisors (187445020228900).

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

121120022011100 is a wasteful number, since it uses less digits than its factorization.

121120022011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12618 (or 12597 counting only the distinct ones).

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

Adding to 121120022011100 its reverse (1110220021121), we get a palindrome (122230242032221).

The spelling of 121120022011100 in words is "one hundred twenty-one trillion, one hundred twenty billion, twenty-two million, eleven thousand, one hundred".