101022022101011 has 32 divisors (see below), whose sum is σ = 113330294588160. Its totient is φ = 89272516003200.

The previous prime is 101022022100983. The next prime is 101022022101067. The reversal of 101022022101011 is 110101220220101.

It is a cyclic number.

It is not a de Polignac number, because 101022022101011 - 2³⁴ = 101004842231827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022022101071) 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, 36224165 + ... + 38913161.

It is an arithmetic number, because the mean of its divisors is an integer number (3541571705880).

Almost surely, 2^{101022022101011} is an apocalyptic number.

101022022101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101022022101011 is a deficient number, since it is larger than the sum of its proper divisors (12308272487149).

101022022101011 is a wasteful number, since it uses less digits than its factorization.

101022022101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689715.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101022022101011 its reverse (110101220220101), we get a palindrome (211123242321112).

The spelling of 101022022101011 in words is "one hundred one trillion, twenty-two billion, twenty-two million, one hundred one thousand, eleven".