102122202110101 has 4 divisors (see below), whose sum is σ = 102122295887212. Its totient is φ = 102122108332992.

The previous prime is 102122202110069. The next prime is 102122202110147. The reversal of 102122202110101 is 101011202221201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 43570230600625 + 58551971509476 = 6600775^2 + 7651926^2 .

It is a cyclic number.

It is not a de Polignac number, because 102122202110101 - 2⁵ = 102122202110069 is a prime.

It is a super-3 number, since 3×102122202110101³ (a number of 43 digits) contains 333 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 (102122202110501) 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, 45235650 + ... + 47439523.

It is an arithmetic number, because the mean of its divisors is an integer number (25530573971803).

Almost surely, 2^{102122202110101} is an apocalyptic number.

It is an amenable number.

102122202110101 is a deficient number, since it is larger than the sum of its proper divisors (93777111).

102122202110101 is an equidigital number, since it uses as much as digits as its factorization.

102122202110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93777110.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102122202110101 its reverse (101011202221201), we get a palindrome (203133404331302).

It can be divided in two parts, 10212220 and 2110101, that added together give a palindrome (12322321).

The spelling of 102122202110101 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred two million, one hundred ten thousand, one hundred one".