101001212221 has 36 divisors (see below), whose sum is σ = 127307058804. Its totient is φ = 79861017600.

The previous prime is 101001212153. The next prime is 101001212287. The reversal of 101001212221 is 122212100101.

It can be written as a sum of positive squares in 6 ways, for example, as 21203436996 + 79797775225 = 145614^2 + 282485^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101001212221 is a prime.

It is a super-2 number, since 2×101001212221² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001218221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17229831 + ... + 17235691.

It is an arithmetic number, because the mean of its divisors is an integer number (3536307189).

Almost surely, 2^101001212221 is an apocalyptic number.

It is an amenable number.

101001212221 is a deficient number, since it is larger than the sum of its proper divisors (26305846583).

101001212221 is a wasteful number, since it uses less digits than its factorization.

101001212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7982 (or 7962 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101001212221 its reverse (122212100101), we get a palindrome (223213312322).

The spelling of 101001212221 in words is "one hundred one billion, one million, two hundred twelve thousand, two hundred twenty-one".