121112011211100 has 576 divisors, whose sum is σ = 443424652339200. Its totient is φ = 24835429232640.

The previous prime is 121112011211077. The next prime is 121112011211123. The reversal of 121112011211100 is 1112110211121.

It is an interprime number because it is at equal distance from previous prime (121112011211077) and next prime (121112011211123).

It is a super-3 number, since 3×121112011211100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 121112011211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 928216666 + ... + 928347134.

Almost surely, 2^{121112011211100} is an apocalyptic number.

121112011211100 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 121112011211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221712326169600).

121112011211100 is an abundant number, since it is smaller than the sum of its proper divisors (322312641128100).

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

121112011211100 is a wasteful number, since it uses less digits than its factorization.

121112011211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131462 (or 131455 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 121112011211100 its reverse (1112110211121), we get a palindrome (122224121422221).

The spelling of 121112011211100 in words is "one hundred twenty-one trillion, one hundred twelve billion, eleven million, two hundred eleven thousand, one hundred".