121101211112112 has 360 divisors, whose sum is σ = 425782523348000. Its totient is φ = 31452066201600.

The previous prime is 121101211112087. The next prime is 121101211112129. The reversal of 121101211112112 is 211211112101121.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1615916562 + ... + 1615991502.

Almost surely, 2^{121101211112112} is an apocalyptic number.

121101211112112 is a gapful number since it is divisible by the number (12) 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 121101211112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212891261674000).

121101211112112 is an abundant number, since it is smaller than the sum of its proper divisors (304681312235888).

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

121101211112112 is a wasteful number, since it uses less digits than its factorization.

121101211112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88233 (or 88213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 121101211112112 its reverse (211211112101121), we get a palindrome (332312323213233).

The spelling of 121101211112112 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred eleven million, one hundred twelve thousand, one hundred twelve".