101022122200101 has 8 divisors (see below), whose sum is σ = 134859036168864. Its totient is φ = 67266644849040.

The previous prime is 101022122200061. The next prime is 101022122200127. The reversal of 101022122200101 is 101002221220101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101022122200101 - 2¹⁰ = 101022122199077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022122200301) 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 7 ways as a sum of consecutive naturals, for example, 20359151530 + ... + 20359156491.

It is an arithmetic number, because the mean of its divisors is an integer number (16857379521108).

Almost surely, 2^{101022122200101} is an apocalyptic number.

It is an amenable number.

101022122200101 is a deficient number, since it is larger than the sum of its proper divisors (33836913968763).

101022122200101 is an equidigital number, since it uses as much as digits as its factorization.

101022122200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40718308851.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101022122200101 its reverse (101002221220101), we get a palindrome (202024343420202).

The spelling of 101022122200101 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-two million, two hundred thousand, one hundred one".