101100021331 has 2 divisors, whose sum is σ = 101100021332. Its totient is φ = 101100021330.

The previous prime is 101100021313. The next prime is 101100021349. The reversal of 101100021331 is 133120001101.

Together with previous prime (101100021313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (101100021313) and next prime (101100021349).

It is an emirp because it is prime and its reverse (133120001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101100021331 - 2³¹ = 98952537683 is a prime.

It is a super-2 number, since 2×101100021331² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101100021311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550010665 + 50550010666.

It is an arithmetic number, because the mean of its divisors is an integer number (50550010666).

Almost surely, 2^101100021331 is an apocalyptic number.

101100021331 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100021331 is an equidigital number, since it uses as much as digits as its factorization.

101100021331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101100021331 its reverse (133120001101), we get a palindrome (234220022432).

The spelling of 101100021331 in words is "one hundred one billion, one hundred million, twenty-one thousand, three hundred thirty-one".