100101221221985 has 48 divisors (see below), whose sum is σ = 130911024578544. Its totient is φ = 73224916697088.

The previous prime is 100101221221919. The next prime is 100101221221999. The reversal of 100101221221985 is 589122122101001.

It can be written as a sum of positive squares in 24 ways, for example, as 13258075274896 + 86843145947089 = 3641164^2 + 9318967^2 .

It is not a de Polignac number, because 100101221221985 - 2¹² = 100101221217889 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78143777 + ... + 79414433.

It is an arithmetic number, because the mean of its divisors is an integer number (2727313012053).

Almost surely, 2^{100101221221985} is an apocalyptic number.

It is an amenable number.

100101221221985 is a deficient number, since it is larger than the sum of its proper divisors (30809803356559).

100101221221985 is a wasteful number, since it uses less digits than its factorization.

100101221221985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271430 (or 1271393 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 35.

Adding to 100101221221985 its reverse (589122122101001), we get a palindrome (689223343322986).

The spelling of 100101221221985 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty-one thousand, nine hundred eighty-five".