10010111322000 has 320 divisors, whose sum is σ = 32626265428224. Its totient is φ = 2640252211200.

The previous prime is 10010111321963. The next prime is 10010111322047. The reversal of 10010111322000 is 22311101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227672019 + ... + 227715981.

Almost surely, 2^{10010111322000} is an apocalyptic number.

10010111322000 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 10010111322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16313132714112).

10010111322000 is an abundant number, since it is smaller than the sum of its proper divisors (22616154106224).

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

10010111322000 is a wasteful number, since it uses less digits than its factorization.

10010111322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44403 (or 44387 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10010111322000 its reverse (22311101001), we get a palindrome (10032422423001).

The spelling of 10010111322000 in words is "ten trillion, ten billion, one hundred eleven million, three hundred twenty-two thousand".