102122116161 has 128 divisors (see below), whose sum is σ = 166742876160. Its totient is φ = 54971136000.

The previous prime is 102122116147. The next prime is 102122116231. The reversal of 102122116161 is 161611221201.

It is not a de Polignac number, because 102122116161 - 2⁶ = 102122116097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122116561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70574340 + ... + 70575786.

It is an arithmetic number, because the mean of its divisors is an integer number (1302678720).

Almost surely, 2^102122116161 is an apocalyptic number.

It is an amenable number.

102122116161 is a deficient number, since it is larger than the sum of its proper divisors (64620759999).

102122116161 is a wasteful number, since it uses less digits than its factorization.

102122116161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 102122116161 its reverse (161611221201), we get a palindrome (263733337362).

The spelling of 102122116161 in words is "one hundred two billion, one hundred twenty-two million, one hundred sixteen thousand, one hundred sixty-one".