121111102100000 has 288 divisors, whose sum is σ = 311769358765200. Its totient is φ = 46248294400000.

The previous prime is 121111102099993. The next prime is 121111102100017. The reversal of 121111102100000 is 1201111121.

It can be written as a sum of positive squares in 24 ways, for example, as 75136789749904 + 45974312350096 = 8668148^2 + 6780436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257865380 + ... + 258334620.

Almost surely, 2^{121111102100000} is an apocalyptic number.

121111102100000 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 121111102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155884679382600).

121111102100000 is an abundant number, since it is smaller than the sum of its proper divisors (190658256665200).

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

121111102100000 is an frugal number, since it uses more digits than its factorization.

121111102100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469394 (or 469366 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121111102100000 its reverse (1201111121), we get a palindrome (121112303211121).

The spelling of 121111102100000 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred two million, one hundred thousand".