101102111000201 has 12 divisors (see below), whose sum is σ = 102895236200016. Its totient is φ = 99339685639920.

The previous prime is 101102111000083. The next prime is 101102111000263. The reversal of 101102111000201 is 102000111201101.

It is not a de Polignac number, because 101102111000201 - 2²⁶ = 101102043891337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102111020201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10821875 + ... + 17869448.

It is an arithmetic number, because the mean of its divisors is an integer number (8574603016668).

Almost surely, 2^{101102111000201} is an apocalyptic number.

It is an amenable number.

101102111000201 is a deficient number, since it is larger than the sum of its proper divisors (1793125199815).

101102111000201 is an frugal number, since it uses more digits than its factorization.

101102111000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28692392 (or 28692331 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102111000201 its reverse (102000111201101), we get a palindrome (203102222201302).

The spelling of 101102111000201 in words is "one hundred one trillion, one hundred two billion, one hundred eleven million, two hundred one", and thus it is an aban number.