100211200112101 has 16 divisors (see below), whose sum is σ = 108115594159104. Its totient is φ = 92334789664704.

The previous prime is 100211200112083. The next prime is 100211200112141. The reversal of 100211200112101 is 101211002112001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100211200112101 - 2¹¹ = 100211200110053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211200112141) 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, 508270326 + ... + 508467448.

It is an arithmetic number, because the mean of its divisors is an integer number (6757224634944).

Almost surely, 2^{100211200112101} is an apocalyptic number.

It is an amenable number.

100211200112101 is a deficient number, since it is larger than the sum of its proper divisors (7904394047003).

100211200112101 is a wasteful number, since it uses less digits than its factorization.

100211200112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267900.

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

Adding to 100211200112101 its reverse (101211002112001), we get a palindrome (201422202224102).

The spelling of 100211200112101 in words is "one hundred trillion, two hundred eleven billion, two hundred million, one hundred twelve thousand, one hundred one".