106211512001 has 16 divisors (see below), whose sum is σ = 129390643200. Its totient is φ = 85155200208.

The previous prime is 106211511953. The next prime is 106211512027. The reversal of 106211512001 is 100215112601.

It is a cyclic number.

It is not a de Polignac number, because 106211512001 - 2²⁶ = 106144403137 is a prime.

It is a super-2 number, since 2×106211512001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106211512081) 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, 5043815 + ... + 5064828.

It is an arithmetic number, because the mean of its divisors is an integer number (8086915200).

Almost surely, 2^106211512001 is an apocalyptic number.

It is an amenable number.

106211512001 is a deficient number, since it is larger than the sum of its proper divisors (23179131199).

106211512001 is a wasteful number, since it uses less digits than its factorization.

106211512001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10108748.

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 106211512001 its reverse (100215112601), we get a palindrome (206426624602).

The spelling of 106211512001 in words is "one hundred six billion, two hundred eleven million, five hundred twelve thousand, one".