101201101113 has 32 divisors (see below), whose sum is σ = 155350582272. Its totient is φ = 57402820800.

The previous prime is 101201101051. The next prime is 101201101139. The reversal of 101201101113 is 311101102101.

It is not a de Polignac number, because 101201101113 - 2¹⁰ = 101201100089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101201101013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2792278 + ... + 2828288.

It is an arithmetic number, because the mean of its divisors is an integer number (4854705696).

Almost surely, 2^101201101113 is an apocalyptic number.

It is an amenable number.

101201101113 is a deficient number, since it is larger than the sum of its proper divisors (54149481159).

101201101113 is a wasteful number, since it uses less digits than its factorization.

101201101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37005.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101201101113 its reverse (311101102101), we get a palindrome (412302203214).

The spelling of 101201101113 in words is "one hundred one billion, two hundred one million, one hundred one thousand, one hundred thirteen".