1000111022000 has 80 divisors (see below), whose sum is σ = 2422103945664. Its totient is φ = 399409920000.

The previous prime is 1000111021969. The next prime is 1000111022003. The reversal of 1000111022000 is 2201110001.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (1000111022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865760 + ... + 1658240.

Almost surely, 2^{1000111022000} is an apocalyptic number.

1000111022000 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 1000111022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211051972832).

1000111022000 is an abundant number, since it is smaller than the sum of its proper divisors (1421992923664).

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

1000111022000 is an equidigital number, since it uses as much as digits as its factorization.

1000111022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793135 (or 793119 counting only the distinct ones).

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

Adding to 1000111022000 its reverse (2201110001), we get a palindrome (1002312132001).

The spelling of 1000111022000 in words is "one trillion, one hundred eleven million, twenty-two thousand".