121101112101200 has 360 divisors, whose sum is σ = 365553319131840. Its totient is φ = 37738761984000.

The previous prime is 121101112101197. The next prime is 121101112101239. The reversal of 121101112101200 is 2101211101121.

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 71 ways as a sum of consecutive naturals, for example, 1992452411 + ... + 1992513189.

Almost surely, 2^{121101112101200} is an apocalyptic number.

121101112101200 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 121101112101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182776659565920).

121101112101200 is an abundant number, since it is smaller than the sum of its proper divisors (244452207030640).

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

121101112101200 is a wasteful number, since it uses less digits than its factorization.

121101112101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66707 (or 66685 counting only the distinct ones).

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

Adding to 121101112101200 its reverse (2101211101121), we get a palindrome (123202323202321).

The spelling of 121101112101200 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred twelve million, one hundred one thousand, two hundred".