10010001122000 has 640 divisors, whose sum is σ = 27776785600512. Its totient is φ = 3484800000000.

The previous prime is 10010001121957. The next prime is 10010001122003. The reversal of 10010001122000 is 22110001001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001122003) 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 127 ways as a sum of consecutive naturals, for example, 8334721400 + ... + 8334722600.

Almost surely, 2^{10010001122000} is an apocalyptic number.

10010001122000 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 10010001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13888392800256).

10010001122000 is an abundant number, since it is smaller than the sum of its proper divisors (17766784478512).

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

10010001122000 is a wasteful number, since it uses less digits than its factorization.

10010001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10010001122000 its reverse (22110001001), we get a palindrome (10032111123001).

The spelling of 10010001122000 in words is "ten trillion, ten billion, one million, one hundred twenty-two thousand".