101021122122113 has 4 divisors (see below), whose sum is σ = 101021167779840. Its totient is φ = 101021076464388.

The previous prime is 101021122122101. The next prime is 101021122122133. The reversal of 101021122122113 is 311221221120101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101021122122113 - 2¹⁰ = 101021122121089 is a prime.

It is a super-2 number, since 2×101021122122113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101021122122133) 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 in 3 ways as a sum of consecutive naturals, for example, 19331393 + ... + 23994686.

It is an arithmetic number, because the mean of its divisors is an integer number (25255291944960).

Almost surely, 2^{101021122122113} is an apocalyptic number.

It is an amenable number.

101021122122113 is a deficient number, since it is larger than the sum of its proper divisors (45657727).

101021122122113 is an equidigital number, since it uses as much as digits as its factorization.

101021122122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45657726.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 101021122122113 its reverse (311221221120101), we get a palindrome (412242343242214).

The spelling of 101021122122113 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred thirteen".