121101121121000 has 128 divisors (see below), whose sum is σ = 290306540160000. Its totient is φ = 47255996224000.

The previous prime is 121101121120981. The next prime is 121101121121027. The reversal of 121101121121000 is 121121101121.

It is a super-2 number, since 2×121101121121000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718194701 + ... + 718363299.

It is an arithmetic number, because the mean of its divisors is an integer number (2268019845000).

Almost surely, 2^{121101121121000} is an apocalyptic number.

121101121121000 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 121101121121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145153270080000).

121101121121000 is an abundant number, since it is smaller than the sum of its proper divisors (169205419039000).

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

121101121121000 is a wasteful number, since it uses less digits than its factorization.

121101121121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186180 (or 186166 counting only the distinct ones).

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

Adding to 121101121121000 its reverse (121121101121), we get a palindrome (121222242222121).

It can be divided in two parts, 121101121 and 121000, that added together give a palindrome (121222121).

The spelling of 121101121121000 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand".