1000211110100 has 18 divisors (see below), whose sum is σ = 2170458109134. Its totient is φ = 400084444000.

The previous prime is 1000211110099. The next prime is 1000211110127. The reversal of 1000211110100 is 10111120001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 230334724624 + 769876385476 = 479932^2 + 877426^2 .

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 5 ways as a sum of consecutive naturals, for example, 5001055451 + ... + 5001055650.

It is an arithmetic number, because the mean of its divisors is an integer number (120581006063).

Almost surely, 2^{1000211110100} is an apocalyptic number.

1000211110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000211110100 is an abundant number, since it is smaller than the sum of its proper divisors (1170246999034).

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

1000211110100 is a wasteful number, since it uses less digits than its factorization.

1000211110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002111115 (or 10002111108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1000211110100 its reverse (10111120001), we get a palindrome (1010322230101).

Subtracting from 1000211110100 its reverse (10111120001), we obtain a palindrome (990099990099).

It can be divided in two parts, 100021 and 1110100, that added together give a palindrome (1210121).

The spelling of 1000211110100 in words is "one trillion, two hundred eleven million, one hundred ten thousand, one hundred".