1000211031000 has 512 divisors, whose sum is σ = 3760979040000. Its totient is φ = 244905984000.

The previous prime is 1000211030971. The next prime is 1000211031011. The reversal of 1000211031000 is 1301120001.

It is a super-2 number, since 2×1000211031000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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, 18792426 + ... + 18845574.

Almost surely, 2^{1000211031000} is an apocalyptic number.

1000211031000 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 1000211031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880489520000).

1000211031000 is an abundant number, since it is smaller than the sum of its proper divisors (2760768009000).

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

1000211031000 is a wasteful number, since it uses less digits than its factorization.

1000211031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53237 (or 53217 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1000211031000 its reverse (1301120001), we get a palindrome (1001512151001).

The spelling of 1000211031000 in words is "one trillion, two hundred eleven million, thirty-one thousand".