101221021112101 has 4 divisors (see below), whose sum is σ = 110422932122304. Its totient is φ = 92019110101900.

The previous prime is 101221021112069. The next prime is 101221021112111. The reversal of 101221021112101 is 101211120122101.

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 101221021112101 - 2⁵ = 101221021112069 is a prime.

It is a super-2 number, since 2×101221021112101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221021112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4600955505085 + ... + 4600955505106.

It is an arithmetic number, because the mean of its divisors is an integer number (27605733030576).

Almost surely, 2^{101221021112101} is an apocalyptic number.

101221021112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221021112101 is a deficient number, since it is larger than the sum of its proper divisors (9201911010203).

101221021112101 is an equidigital number, since it uses as much as digits as its factorization.

101221021112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201911010202.

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

Adding to 101221021112101 its reverse (101211120122101), we get a palindrome (202432141234202).

The spelling of 101221021112101 in words is "one hundred one trillion, two hundred twenty-one billion, twenty-one million, one hundred twelve thousand, one hundred one".