101022103101 has 16 divisors (see below), whose sum is σ = 145310376384. Its totient is φ = 62190445824.

The previous prime is 101022103093. The next prime is 101022103123. The reversal of 101022103101 is 101301220101.

It is not a de Polignac number, because 101022103101 - 2³ = 101022103093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022103141) 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, 18684331 + ... + 18689736.

It is an arithmetic number, because the mean of its divisors is an integer number (9081898524).

Almost surely, 2^101022103101 is an apocalyptic number.

It is an amenable number.

101022103101 is a deficient number, since it is larger than the sum of its proper divisors (44288273283).

101022103101 is a wasteful number, since it uses less digits than its factorization.

101022103101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37374140.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101022103101 its reverse (101301220101), we get a palindrome (202323323202).

The spelling of 101022103101 in words is "one hundred one billion, twenty-two million, one hundred three thousand, one hundred one".