101101022011 has 16 divisors (see below), whose sum is σ = 111830031360. Its totient is φ = 90628960320.

The previous prime is 101101021981. The next prime is 101101022023. The reversal of 101101022011 is 110220101101.

It is a cyclic number.

It is not a de Polignac number, because 101101022011 - 2⁹ = 101101021499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101022081) 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, 3924270 + ... + 3949948.

It is an arithmetic number, because the mean of its divisors is an integer number (6989376960).

Almost surely, 2^101101022011 is an apocalyptic number.

101101022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101101022011 is a deficient number, since it is larger than the sum of its proper divisors (10729009349).

101101022011 is a wasteful number, since it uses less digits than its factorization.

101101022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30666.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101022011 its reverse (110220101101), we get a palindrome (211321123112).

The spelling of 101101022011 in words is "one hundred one billion, one hundred one million, twenty-two thousand, eleven".