100101221321312 has 48 divisors (see below), whose sum is σ = 197982844480512. Its totient is φ = 49819920289920.

The previous prime is 100101221321261. The next prime is 100101221321347. The reversal of 100101221321312 is 213123122101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56290973 + ... + 58042019.

It is an arithmetic number, because the mean of its divisors is an integer number (4124642593344).

Almost surely, 2^{100101221321312} is an apocalyptic number.

It is an amenable number.

100101221321312 is a deficient number, since it is larger than the sum of its proper divisors (97881623159200).

100101221321312 is a wasteful number, since it uses less digits than its factorization.

100101221321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759291 (or 1759283 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 100101221321312 its reverse (213123122101001), we get a palindrome (313224343422313).

The spelling of 100101221321312 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, three hundred twenty-one thousand, three hundred twelve".