121111101022100 has 216 divisors, whose sum is σ = 308806187639040. Its totient is φ = 41104657440000.

The previous prime is 121111101022091. The next prime is 121111101022129. The reversal of 121111101022100 is 1220101111121.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2889700145 + ... + 2889742055.

Almost surely, 2^{121111101022100} is an apocalyptic number.

121111101022100 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 121111101022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154403093819520).

121111101022100 is an abundant number, since it is smaller than the sum of its proper divisors (187695086616940).

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

121111101022100 is a wasteful number, since it uses less digits than its factorization.

121111101022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47879 (or 47865 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121111101022100 its reverse (1220101111121), we get a palindrome (122331202133221).

The spelling of 121111101022100 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred one million, twenty-two thousand, one hundred".