101001122821 has 2 divisors, whose sum is σ = 101001122822. Its totient is φ = 101001122820.

The previous prime is 101001122819. The next prime is 101001122863. The reversal of 101001122821 is 128221100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96764544900 + 4236577921 = 311070^2 + 65089^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001122821 - 2¹ = 101001122819 is a prime.

It is a super-2 number, since 2×101001122821² (a number of 23 digits) contains 22 as substring.

Together with 101001122819, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001152821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500561410 + 50500561411.

It is an arithmetic number, because the mean of its divisors is an integer number (50500561411).

Almost surely, 2^101001122821 is an apocalyptic number.

It is an amenable number.

101001122821 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001122821 is an equidigital number, since it uses as much as digits as its factorization.

101001122821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101001122821 its reverse (128221100101), we get a palindrome (229222222922).

The spelling of 101001122821 in words is "one hundred one billion, one million, one hundred twenty-two thousand, eight hundred twenty-one".