121100020110000 has 800 divisors, whose sum is σ = 436968843960000. Its totient is φ = 32100157440000.

The previous prime is 121100020109989. The next prime is 121100020110023. The reversal of 121100020110000 is 11020001121.

It is a happy number.

It is a super-4 number, since 4×121100020110000⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44052388626 + ... + 44052391374.

It is an arithmetic number, because the mean of its divisors is an integer number (546211054950).

Almost surely, 2^{121100020110000} is an apocalyptic number.

121100020110000 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 121100020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218484421980000).

121100020110000 is an abundant number, since it is smaller than the sum of its proper divisors (315868823850000).

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

121100020110000 is a wasteful number, since it uses less digits than its factorization.

121100020110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121100020110000 its reverse (11020001121), we get a palindrome (121111040111121).

The spelling of 121100020110000 in words is "one hundred twenty-one trillion, one hundred billion, twenty million, one hundred ten thousand".