101022414101 has 4 divisors (see below), whose sum is σ = 115454187552. Its totient is φ = 86590640652.

The previous prime is 101022414067. The next prime is 101022414179. The reversal of 101022414101 is 101414220101.

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 101022414101 - 2¹⁴ = 101022397717 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101022414101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022413101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7215886715 + ... + 7215886728.

It is an arithmetic number, because the mean of its divisors is an integer number (28863546888).

Almost surely, 2^101022414101 is an apocalyptic number.

It is an amenable number.

101022414101 is a deficient number, since it is larger than the sum of its proper divisors (14431773451).

101022414101 is an equidigital number, since it uses as much as digits as its factorization.

101022414101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14431773450.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101022414101 its reverse (101414220101), we get a palindrome (202436634202).

The spelling of 101022414101 in words is "one hundred one billion, twenty-two million, four hundred fourteen thousand, one hundred one".