101200101201101 has 8 divisors (see below), whose sum is σ = 118346962202304. Its totient is φ = 84725666121600.

The previous prime is 101200101201077. The next prime is 101200101201179. The reversal of 101200101201101 is 101102101002101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101200101201101 - 2³⁴ = 101182921331917 is a prime.

It is a super-2 number, since 2×101200101201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200101201191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168106480100 + ... + 168106480701.

It is an arithmetic number, because the mean of its divisors is an integer number (14793370275288).

Almost surely, 2^{101200101201101} is an apocalyptic number.

It is an amenable number.

101200101201101 is a deficient number, since it is larger than the sum of its proper divisors (17146861001203).

101200101201101 is an equidigital number, since it uses as much as digits as its factorization.

101200101201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336212960851.

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

Adding to 101200101201101 its reverse (101102101002101), we get a palindrome (202302202203202).

The spelling of 101200101201101 in words is "one hundred one trillion, two hundred billion, one hundred one million, two hundred one thousand, one hundred one".