101101211201 has 16 divisors (see below), whose sum is σ = 107456194560. Its totient is φ = 94852639440.

The previous prime is 101101211143. The next prime is 101101211213. The reversal of 101101211201 is 102112101101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101211201 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101101211221) 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, 1170440 + ... + 1253846.

It is an arithmetic number, because the mean of its divisors is an integer number (6716012160).

Almost surely, 2^101101211201 is an apocalyptic number.

It is an amenable number.

101101211201 is a deficient number, since it is larger than the sum of its proper divisors (6354983359).

101101211201 is a wasteful number, since it uses less digits than its factorization.

101101211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84044.

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

Adding to 101101211201 its reverse (102112101101), we get a palindrome (203213312302).

The spelling of 101101211201 in words is "one hundred one billion, one hundred one million, two hundred eleven thousand, two hundred one".