1010111322000 has 640 divisors, whose sum is σ = 3709032178176. Its totient is φ = 234316800000.

The previous prime is 1010111321977. The next prime is 1010111322019. The reversal of 1010111322000 is 2231110101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148958610 + ... + 148965390.

Almost surely, 2^{1010111322000} is an apocalyptic number.

1010111322000 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 1010111322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854516089088).

1010111322000 is an abundant number, since it is smaller than the sum of its proper divisors (2698920856176).

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

1010111322000 is a wasteful number, since it uses less digits than its factorization.

1010111322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6900 counting only the distinct ones).

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

Adding to 1010111322000 its reverse (2231110101), we get a palindrome (1012342432101).

The spelling of 1010111322000 in words is "one trillion, ten billion, one hundred eleven million, three hundred twenty-two thousand".