101211222121 has 2 divisors, whose sum is σ = 101211222122. Its totient is φ = 101211222120.

The previous prime is 101211222097. The next prime is 101211222131. The reversal of 101211222121 is 121222112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75864990096 + 25346232025 = 275436^2 + 159205^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211222121 - 2¹¹ = 101211220073 is a prime.

It is a super-2 number, since 2×101211222121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211222095 and 101211222104.

It is not a weakly prime, because it can be changed into another prime (101211222131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605611060 + 50605611061.

It is an arithmetic number, because the mean of its divisors is an integer number (50605611061).

Almost surely, 2^101211222121 is an apocalyptic number.

It is an amenable number.

101211222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211222121 is an equidigital number, since it uses as much as digits as its factorization.

101211222121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101211222121 its reverse (121222112101), we get a palindrome (222433334222).

The spelling of 101211222121 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty-one".