101100022101 has 20 divisors (see below), whose sum is σ = 162643342092. Its totient is φ = 62215397568.

The previous prime is 101100022097. The next prime is 101100022109. The reversal of 101100022101 is 101220001101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53545497201 + 47554524900 = 231399^2 + 218070^2 .

It is not a de Polignac number, because 101100022101 - 2² = 101100022097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100022109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48004656 + ... + 48006761.

Almost surely, 2^101100022101 is an apocalyptic number.

It is an amenable number.

101100022101 is a deficient number, since it is larger than the sum of its proper divisors (61543319991).

101100022101 is an equidigital number, since it uses as much as digits as its factorization.

101100022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96011442 (or 96011433 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101100022101 its reverse (101220001101), we get a palindrome (202320023202).

The spelling of 101100022101 in words is "one hundred one billion, one hundred million, twenty-two thousand, one hundred one".