122102110010101 has 16 divisors (see below), whose sum is σ = 133991609424624. Its totient is φ = 110569837008384.

The previous prime is 122102110010093. The next prime is 122102110010107. The reversal of 122102110010101 is 101010011201221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 41625529686225 + 80476580323876 = 6451785^2 + 8970874^2 .

It is not a de Polignac number, because 122102110010101 - 2³ = 122102110010093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102110010107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4805806 + ... + 16349311.

It is an arithmetic number, because the mean of its divisors is an integer number (8374475589039).

Almost surely, 2^{122102110010101} is an apocalyptic number.

It is an amenable number.

122102110010101 is a deficient number, since it is larger than the sum of its proper divisors (11889499414523).

122102110010101 is a wasteful number, since it uses less digits than its factorization.

122102110010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21163560.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122102110010101 its reverse (101010011201221), we get a palindrome (223112121211322).

The spelling of 122102110010101 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred ten million, ten thousand, one hundred one".