121010001020000 has 240 divisors, whose sum is σ = 307420570727424. Its totient is φ = 46825128000000.

The previous prime is 121010001019993. The next prime is 121010001020059. The reversal of 121010001020000 is 20100010121.

It is a super-3 number, since 3×121010001020000³ (a number of 43 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121010001020000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1730385035 + ... + 1730454965.

Almost surely, 2^{121010001020000} is an apocalyptic number.

121010001020000 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 121010001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153710285363712).

121010001020000 is an abundant number, since it is smaller than the sum of its proper divisors (186410569707424).

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

121010001020000 is an equidigital number, since it uses as much as digits as its factorization.

121010001020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72783 (or 72760 counting only the distinct ones).

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

Adding to 121010001020000 its reverse (20100010121), we get a palindrome (121030101030121).

The spelling of 121010001020000 in words is "one hundred twenty-one trillion, ten billion, one million, twenty thousand".