10121121120000 has 720 divisors, whose sum is σ = 37085962193280. Its totient is φ = 2429184000000.

The previous prime is 10121121119971. The next prime is 10121121120029. The reversal of 10121121120000 is 2112112101.

It is an interprime number because it is at equal distance from previous prime (10121121119971) and next prime (10121121120029).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 79 ways as a sum of consecutive naturals, for example, 533270511 + ... + 533289489.

It is an arithmetic number, because the mean of its divisors is an integer number (51508280824).

Almost surely, 2^{10121121120000} is an apocalyptic number.

10121121120000 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 10121121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18542981096640).

10121121120000 is an abundant number, since it is smaller than the sum of its proper divisors (26964841073280).

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

10121121120000 is a wasteful number, since it uses less digits than its factorization.

10121121120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19130 (or 19101 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10121121120000 its reverse (2112112101), we get a palindrome (10123233232101).

The spelling of 10121121120000 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand".