10126010880000 has 1300 divisors, whose sum is σ = 38640959934720. Its totient is φ = 2640273408000.

The previous prime is 10126010879993. The next prime is 10126010880067. The reversal of 10126010880000 is 8801062101.

It is a super-3 number, since 3×10126010880000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 9745919481 + ... + 9745920519.

Almost surely, 2^{10126010880000} is an apocalyptic number.

10126010880000 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 10126010880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320479967360).

10126010880000 is an abundant number, since it is smaller than the sum of its proper divisors (28514949054720).

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

10126010880000 is an frugal number, since it uses more digits than its factorization.

10126010880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 10126010880000 in words is "ten trillion, one hundred twenty-six billion, ten million, eight hundred eighty thousand".