10121005140000 has 480 divisors, whose sum is σ = 33803783576640. Its totient is φ = 2649878016000.

The previous prime is 10121005139981. The next prime is 10121005140011. The reversal of 10121005140000 is 4150012101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4294018822 + ... + 4294021178.

It is an arithmetic number, because the mean of its divisors is an integer number (70424549118).

Almost surely, 2^{10121005140000} is an apocalyptic number.

10121005140000 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 10121005140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16901891788320).

10121005140000 is an abundant number, since it is smaller than the sum of its proper divisors (23682778436640).

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

10121005140000 is a wasteful number, since it uses less digits than its factorization.

10121005140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 10121005140000 its reverse (4150012101), we get a palindrome (10125155152101).

The spelling of 10121005140000 in words is "ten trillion, one hundred twenty-one billion, five million, one hundred forty thousand".