122101010101 has 24 divisors (see below), whose sum is σ = 142360023960. Its totient is φ = 104419510272.

The previous prime is 122101010099. The next prime is 122101010117. The reversal of 122101010101 is 101010101221.

It can be written as a sum of positive squares in 4 ways, for example, as 58261407876 + 63839602225 = 241374^2 + 252665^2 .

It is not a de Polignac number, because 122101010101 - 2¹ = 122101010099 is a prime.

122101010101 is a modest number, since divided by 1010101 gives 1221 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101010131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64636965 + ... + 64638853.

It is an arithmetic number, because the mean of its divisors is an integer number (5931667665).

Almost surely, 2^122101010101 is an apocalyptic number.

It is an amenable number.

122101010101 is a deficient number, since it is larger than the sum of its proper divisors (20259013859).

122101010101 is a wasteful number, since it uses less digits than its factorization.

122101010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 122101010101 its reverse (101010101221), we get a palindrome (223111111322).

The spelling of 122101010101 in words is "one hundred twenty-two billion, one hundred one million, ten thousand, one hundred one".