101022220211011 has 16 divisors (see below), whose sum is σ = 115003436025600. Its totient is φ = 87840970794720.

The previous prime is 101022220210903. The next prime is 101022220211021. The reversal of 101022220211011 is 110112022220101.

It is not a de Polignac number, because 101022220211011 - 2¹⁷ = 101022220079939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022220211021) 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, 5063961 + ... + 15089338.

It is an arithmetic number, because the mean of its divisors is an integer number (7187714751600).

Almost surely, 2^{101022220211011} is an apocalyptic number.

101022220211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101022220211011 is a deficient number, since it is larger than the sum of its proper divisors (13981215814589).

101022220211011 is a wasteful number, since it uses less digits than its factorization.

101022220211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20173146.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101022220211011 its reverse (110112022220101), we get a palindrome (211134242431112).

The spelling of 101022220211011 in words is "one hundred one trillion, twenty-two billion, two hundred twenty million, two hundred eleven thousand, eleven".