101044630126000 has 160 divisors (see below), whose sum is σ = 266976503838720. Its totient is φ = 36682964064000.

The previous prime is 101044630125991. The next prime is 101044630126019. The reversal of 101044630126000 is 621036440101.

It is a self number, because there is not a number n which added to its sum of digits gives 101044630126000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9570691 + ... + 17137309.

It is an arithmetic number, because the mean of its divisors is an integer number (1668603148992).

Almost surely, 2^{101044630126000} is an apocalyptic number.

101044630126000 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 101044630126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133488251919360).

101044630126000 is an abundant number, since it is smaller than the sum of its proper divisors (165931873712720).

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

101044630126000 is a wasteful number, since it uses less digits than its factorization.

101044630126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567260 (or 7567244 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 101044630126000 its reverse (621036440101), we get a palindrome (101665666566101).

The spelling of 101044630126000 in words is "one hundred one trillion, forty-four billion, six hundred thirty million, one hundred twenty-six thousand".