102121222211101 has 8 divisors (see below), whose sum is σ = 104059483385184. Its totient is φ = 100183384950480.

The previous prime is 102121222211077. The next prime is 102121222211167. The reversal of 102121222211101 is 101112222121201.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 102121222211101 - 2⁵ = 102121222211069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121222211401) 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, 105491971 + ... + 106455616.

It is an arithmetic number, because the mean of its divisors is an integer number (13007435423148).

Almost surely, 2^{102121222211101} is an apocalyptic number.

It is an amenable number.

102121222211101 is a deficient number, since it is larger than the sum of its proper divisors (1938261174083).

102121222211101 is an equidigital number, since it uses as much as digits as its factorization.

102121222211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211956731.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102121222211101 its reverse (101112222121201), we get a palindrome (203233444332302).

It can be divided in two parts, 102121 and 222211101, that added together give a palindrome (222313222).

The spelling of 102121222211101 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred eleven thousand, one hundred one".