122101101001011 has 32 divisors (see below), whose sum is σ = 187802165569536. Its totient is φ = 69866877024000.

The previous prime is 122101101001003. The next prime is 122101101001063. The reversal of 122101101001011 is 110100101101221.

It is not a de Polignac number, because 122101101001011 - 2³ = 122101101001003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122101101011011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1455517996 + ... + 1455601881.

It is an arithmetic number, because the mean of its divisors is an integer number (5868817674048).

Almost surely, 2^{122101101001011} is an apocalyptic number.

122101101001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122101101001011 is a deficient number, since it is larger than the sum of its proper divisors (65701064568525).

122101101001011 is a wasteful number, since it uses less digits than its factorization.

122101101001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2911119963.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 122101101001011 its reverse (110100101101221), we get a palindrome (232201202102232).

The spelling of 122101101001011 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred one million, one thousand, eleven".