101121100222101 has 8 divisors (see below), whose sum is σ = 137696817323904. Its totient is φ = 65979724967520.

The previous prime is 101121100222081. The next prime is 101121100222133. The reversal of 101121100222101 is 101222001121101.

It is a happy number.

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

It is not a de Polignac number, because 101121100222101 - 2¹³ = 101121100213909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121100222801) 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, 358585461640 + ... + 358585461921.

It is an arithmetic number, because the mean of its divisors is an integer number (17212102165488).

Almost surely, 2^{101121100222101} is an apocalyptic number.

It is an amenable number.

101121100222101 is a deficient number, since it is larger than the sum of its proper divisors (36575717101803).

101121100222101 is an equidigital number, since it uses as much as digits as its factorization.

101121100222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717170923611.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121100222101 its reverse (101222001121101), we get a palindrome (202343101343202).

The spelling of 101121100222101 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred million, two hundred twenty-two thousand, one hundred one".