122110120101211 has 48 divisors (see below), whose sum is σ = 136954597953600. Its totient is φ = 108775893600000.

The previous prime is 122110120101209. The next prime is 122110120101247. The reversal of 122110120101211 is 112101021011221.

It is not a de Polignac number, because 122110120101211 - 2¹ = 122110120101209 is a prime.

It is a super-2 number, since 2×122110120101211² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122110120101611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496281805 + ... + 496527793.

It is an arithmetic number, because the mean of its divisors is an integer number (2853220790700).

Almost surely, 2^{122110120101211} is an apocalyptic number.

122110120101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122110120101211 is a deficient number, since it is larger than the sum of its proper divisors (14844477852389).

122110120101211 is a wasteful number, since it uses less digits than its factorization.

122110120101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246532 (or 246521 counting only the distinct ones).

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

Adding to 122110120101211 its reverse (112101021011221), we get a palindrome (234211141112432).

It can be divided in two parts, 1221101 and 20101211, that added together give a palindrome (21322312).

The spelling of 122110120101211 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred twenty million, one hundred one thousand, two hundred eleven".