122121100122211 has 16 divisors (see below), whose sum is σ = 123060293683488. Its totient is φ = 121182608620800.

The previous prime is 122121100122173. The next prime is 122121100122221. The reversal of 122121100122211 is 112221001121221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122121100122211 - 2¹¹ = 122121100120163 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122121100122221) 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, 7191623341 + ... + 7191640321.

It is an arithmetic number, because the mean of its divisors is an integer number (7691268355218).

Almost surely, 2^{122121100122211} is an apocalyptic number.

122121100122211 is a deficient number, since it is larger than the sum of its proper divisors (939193561277).

122121100122211 is a wasteful number, since it uses less digits than its factorization.

122121100122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34422.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122121100122211 its reverse (112221001121221), we get a palindrome (234342101243432).

The spelling of 122121100122211 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-two thousand, two hundred eleven".