102122011122101 has 2 divisors, whose sum is σ = 102122011122102. Its totient is φ = 102122011122100.

The previous prime is 102122011122097. The next prime is 102122011122247. The reversal of 102122011122101 is 101221110221201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100742854481476 + 1379156640625 = 10037074^2 + 1174375^2 .

It is a cyclic number.

It is not a de Polignac number, because 102122011122101 - 2² = 102122011122097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102122011122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102122011122401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061005561050 + 51061005561051.

It is an arithmetic number, because the mean of its divisors is an integer number (51061005561051).

Almost surely, 2^{102122011122101} is an apocalyptic number.

It is an amenable number.

102122011122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102122011122101 is an equidigital number, since it uses as much as digits as its factorization.

102122011122101 is an evil number, because the sum of its binary digits is even.

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

Adding to 102122011122101 its reverse (101221110221201), we get a palindrome (203343121343302).

The spelling of 102122011122101 in words is "one hundred two trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred one".