101011122012221 has 8 divisors (see below), whose sum is σ = 102001448704344. Its totient is φ = 100025187013440.

The previous prime is 101011122012209. The next prime is 101011122012247. The reversal of 101011122012221 is 122210221110101.

It can be written as a sum of positive squares in 4 ways, for example, as 47799786960121 + 53211335052100 = 6913739^2 + 7294610^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011122012221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011122012221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011122012721) 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, 1097877110 + ... + 1097969111.

It is an arithmetic number, because the mean of its divisors is an integer number (12750181088043).

Almost surely, 2^{101011122012221} is an apocalyptic number.

It is an amenable number.

101011122012221 is a deficient number, since it is larger than the sum of its proper divisors (990326692123).

101011122012221 is a wasteful number, since it uses less digits than its factorization.

101011122012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195846671.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101011122012221 its reverse (122210221110101), we get a palindrome (223221343122322).

The spelling of 101011122012221 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, twelve thousand, two hundred twenty-one".