201213202140100 has 72 divisors (see below), whose sum is σ = 436915647735560. Its totient is φ = 80433130014720.

The previous prime is 201213202140089. The next prime is 201213202140211. The reversal of 201213202140100 is 1041202312102.

It can be written as a sum of positive squares in 12 ways, for example, as 109552185691524 + 91661016448576 = 10466718^2 + 9573976^2 .

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 23 ways as a sum of consecutive naturals, for example, 1124653852 + ... + 1124832748.

Almost surely, 2^{201213202140100} is an apocalyptic number.

201213202140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201213202140100 is an abundant number, since it is smaller than the sum of its proper divisors (235702445595460).

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

201213202140100 is a wasteful number, since it uses less digits than its factorization.

201213202140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186137 (or 186130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 201213202140100 its reverse (1041202312102), we get a palindrome (202254404452202).

The spelling of 201213202140100 in words is "two hundred one trillion, two hundred thirteen billion, two hundred two million, one hundred forty thousand, one hundred".