10012151004000 has 192 divisors, whose sum is σ = 34526113090560. Its totient is φ = 2529385459200.

The previous prime is 10012151003983. The next prime is 10012151004001. The reversal of 10012151004000 is 40015121001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012151004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21728472 + ... + 22184471.

It is an arithmetic number, because the mean of its divisors is an integer number (179823505680).

Almost surely, 2^{10012151004000} is an apocalyptic number.

10012151004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012151004000 is an abundant number, since it is smaller than the sum of its proper divisors (24513962086560).

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

10012151004000 is a wasteful number, since it uses less digits than its factorization.

10012151004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43912990 (or 43912972 counting only the distinct ones).

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

Adding to 10012151004000 its reverse (40015121001), we get a palindrome (10052166125001).

The spelling of 10012151004000 in words is "ten trillion, twelve billion, one hundred fifty-one million, four thousand".