101011102101 has 48 divisors (see below), whose sum is σ = 180638115840. Its totient is φ = 53280508320.

The previous prime is 101011102091. The next prime is 101011102207. The reversal of 101011102101 is 101201110101.

It is not a de Polignac number, because 101011102101 - 2⁵ = 101011102069 is a prime.

It is a super-2 number, since 2×101011102101² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011102301) 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 47 ways as a sum of consecutive naturals, for example, 226485 + ... + 503306.

It is an arithmetic number, because the mean of its divisors is an integer number (3763294080).

Almost surely, 2^101011102101 is an apocalyptic number.

It is an amenable number.

101011102101 is a deficient number, since it is larger than the sum of its proper divisors (79627013739).

101011102101 is an equidigital number, since it uses as much as digits as its factorization.

101011102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729843 (or 729814 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011102101 its reverse (101201110101), we get a palindrome (202212212202).

The spelling of 101011102101 in words is "one hundred one billion, eleven million, one hundred two thousand, one hundred one".