201102112100101 has 8 divisors (see below), whose sum is σ = 211792118519520. Its totient is φ = 190422674153712.

The previous prime is 201102112100041. The next prime is 201102112100173. The reversal of 201102112100101 is 101001211201102.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 201102112100101 - 2¹⁵ = 201102112067333 is a prime.

It is a super-2 number, since 2×201102112100101² (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 (201112112100101) 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, 2642079190 + ... + 2642155303.

It is an arithmetic number, because the mean of its divisors is an integer number (26474014814940).

Almost surely, 2^{201102112100101} is an apocalyptic number.

It is an amenable number.

201102112100101 is a deficient number, since it is larger than the sum of its proper divisors (10690006419419).

201102112100101 is a wasteful number, since it uses less digits than its factorization.

201102112100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284236515.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201102112100101 its reverse (101001211201102), we get a palindrome (302103323301203).

The spelling of 201102112100101 in words is "two hundred one trillion, one hundred two billion, one hundred twelve million, one hundred thousand, one hundred one".