102122122201 has 6 divisors (see below), whose sum is σ = 112249936106. Its totient is φ = 92838292800.

The previous prime is 102122122183. The next prime is 102122122259. The reversal of 102122122201 is 102221221201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 93412753225 + 8709368976 = 305635^2 + 93324^2 .

It is not a de Polignac number, because 102122122201 - 2¹¹ = 102122120153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122122261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 421992120 + ... + 421992361.

Almost surely, 2^102122122201 is an apocalyptic number.

102122122201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102122122201 is a deficient number, since it is larger than the sum of its proper divisors (10127813905).

102122122201 is an equidigital number, since it uses as much as digits as its factorization.

102122122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843984503 (or 843984492 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102122122201 its reverse (102221221201), we get a palindrome (204343343402).

The spelling of 102122122201 in words is "one hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred one".