1000211020000 has 120 divisors (see below), whose sum is σ = 2461380075000. Its totient is φ = 399968832000.

The previous prime is 1000211019931. The next prime is 1000211020007. The reversal of 1000211020000 is 201120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000211020007) 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 19 ways as a sum of consecutive naturals, for example, 114975651 + ... + 114984349.

It is an arithmetic number, because the mean of its divisors is an integer number (20511500625).

Almost surely, 2^{1000211020000} is an apocalyptic number.

1000211020000 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 1000211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230690037500).

1000211020000 is an abundant number, since it is smaller than the sum of its proper divisors (1461169055000).

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

1000211020000 is an frugal number, since it uses more digits than its factorization.

1000211020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14478 (or 14455 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1000211020000 its reverse (201120001), we get a palindrome (1000412140001).

The spelling of 1000211020000 in words is "one trillion, two hundred eleven million, twenty thousand".