121100002100000 has 576 divisors, whose sum is σ = 378544378109184. Its totient is φ = 37033152000000.

The previous prime is 121100002099997. The next prime is 121100002100003. The reversal of 121100002100000 is 1200001121.

It is an interprime number because it is at equal distance from previous prime (121100002099997) and next prime (121100002100003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (121100002100003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407951630 + ... + 408248370.

It is an arithmetic number, because the mean of its divisors is an integer number (657195100884).

Almost surely, 2^{121100002100000} is an apocalyptic number.

121100002100000 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 121100002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189272189054592).

121100002100000 is an abundant number, since it is smaller than the sum of its proper divisors (257444376009184).

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

121100002100000 is an equidigital number, since it uses as much as digits as its factorization.

121100002100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296847 (or 296819 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 121100002100000 its reverse (1200001121), we get a palindrome (121101202101121).

The spelling of 121100002100000 in words is "one hundred twenty-one trillion, one hundred billion, two million, one hundred thousand".