1001100000212 has 24 divisors (see below), whose sum is σ = 1886763518472. Its totient is φ = 462027772800.

The previous prime is 1001100000211. The next prime is 1001100000239. The reversal of 1001100000212 is 2120000011001.

It can be written as a sum of positive squares in 4 ways, for example, as 526428606916 + 474671393296 = 725554^2 + 688964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1001100000212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100000211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 983162 + ... + 1723022.

It is an arithmetic number, because the mean of its divisors is an integer number (78615146603).

Almost surely, 2^{1001100000212} is an apocalyptic number.

It is an amenable number.

1001100000212 is a deficient number, since it is larger than the sum of its proper divisors (885663518260).

1001100000212 is a wasteful number, since it uses less digits than its factorization.

1001100000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765899 (or 765897 counting only the distinct ones).

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

Adding to 1001100000212 its reverse (2120000011001), we get a palindrome (3121100011213).

The spelling of 1001100000212 in words is "one trillion, one billion, one hundred million, two hundred twelve", and thus it is an aban number.