101221112120011 has 48 divisors (see below), whose sum is σ = 117717764246208. Its totient is φ = 86491365120000.

The previous prime is 101221112119999. The next prime is 101221112120083. The reversal of 101221112120011 is 110021211122101.

It is not a de Polignac number, because 101221112120011 - 2¹⁷ = 101221111988939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101221112123011) 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, 56414721 + ... + 58181293.

It is an arithmetic number, because the mean of its divisors is an integer number (2452453421796).

Almost surely, 2^{101221112120011} is an apocalyptic number.

101221112120011 is a deficient number, since it is larger than the sum of its proper divisors (16496652126197).

101221112120011 is a wasteful number, since it uses less digits than its factorization.

101221112120011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766872 (or 1766855 counting only the distinct ones).

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

Adding to 101221112120011 its reverse (110021211122101), we get a palindrome (211242323242112).

The spelling of 101221112120011 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twenty thousand, eleven".