122101011211011 has 64 divisors (see below), whose sum is σ = 191361126039552. Its totient is φ = 67797401760000.

The previous prime is 122101011210989. The next prime is 122101011211031. The reversal of 122101011211011 is 110112110101221.

It is not a de Polignac number, because 122101011211011 - 2¹⁹ = 122101010686723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122101011211031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744477226 + ... + 744641216.

It is an arithmetic number, because the mean of its divisors is an integer number (2990017594368).

Almost surely, 2^{122101011211011} is an apocalyptic number.

122101011211011 is a deficient number, since it is larger than the sum of its proper divisors (69260114828541).

122101011211011 is a wasteful number, since it uses less digits than its factorization.

122101011211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167504.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 122101011211011 its reverse (110112110101221), we get a palindrome (232213121312232).

The spelling of 122101011211011 in words is "one hundred twenty-two trillion, one hundred one billion, eleven million, two hundred eleven thousand, eleven".