122121020122211 has 32 divisors (see below), whose sum is σ = 135298775678976. Its totient is φ = 109301726160000.

The previous prime is 122121020122193. The next prime is 122121020122219. The reversal of 122121020122211 is 112221020121221.

It is not a de Polignac number, because 122121020122211 - 2¹⁰ = 122121020121187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122121020122219) 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, 2554435070 + ... + 2554482876.

It is an arithmetic number, because the mean of its divisors is an integer number (4228086739968).

Almost surely, 2^{122121020122211} is an apocalyptic number.

122121020122211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122121020122211 is a deficient number, since it is larger than the sum of its proper divisors (13177755556765).

122121020122211 is a wasteful number, since it uses less digits than its factorization.

122121020122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60803.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122121020122211 its reverse (112221020121221), we get a palindrome (234342040243432).

The spelling of 122121020122211 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty million, one hundred twenty-two thousand, two hundred eleven".