121021121110000 has 200 divisors, whose sum is σ = 309309422114000. Its totient is φ = 45729204480000.

The previous prime is 121021121109991. The next prime is 121021121110031. The reversal of 121021121110000 is 11121120121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×121021121110000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65397460 + ... + 67222540.

It is an arithmetic number, because the mean of its divisors is an integer number (1546547110570).

Almost surely, 2^{121021121110000} is an apocalyptic number.

121021121110000 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 121021121110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154654711057000).

121021121110000 is an abundant number, since it is smaller than the sum of its proper divisors (188288301004000).

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

121021121110000 is a wasteful number, since it uses less digits than its factorization.

121021121110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825477 (or 1825456 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121021121110000 its reverse (11121120121), we get a palindrome (121032242230121).

It can be divided in two parts, 121021121 and 110000, that added together give a palindrome (121131121).

The spelling of 121021121110000 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred twenty-one million, one hundred ten thousand".