102122210121101 has 8 divisors (see below), whose sum is σ = 108578068661304. Its totient is φ = 95716203770880.

The previous prime is 102122210121079. The next prime is 102122210121193. The reversal of 102122210121101 is 101121012221201.

It can be written as a sum of positive squares in 4 ways, for example, as 35293710604201 + 66828499516900 = 5940851^2 + 8174870^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102122210121101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 102122210121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122210121901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12463043270 + ... + 12463051463.

It is an arithmetic number, because the mean of its divisors is an integer number (13572258582663).

Almost surely, 2^{102122210121101} is an apocalyptic number.

It is an amenable number.

102122210121101 is a deficient number, since it is larger than the sum of its proper divisors (6455858540203).

102122210121101 is a wasteful number, since it uses less digits than its factorization.

102122210121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24926094991.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102122210121101 its reverse (101121012221201), we get a palindrome (203243222342302).

The spelling of 102122210121101 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty-one thousand, one hundred one".