106101058001 has 4 divisors (see below), whose sum is σ = 106435761972. Its totient is φ = 105766354032.

The previous prime is 106101057973. The next prime is 106101058013. The reversal of 106101058001 is 100850101601.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100850101601 = 89 ⋅1133147209.

It can be written as a sum of positive squares in 2 ways, for example, as 26464782400 + 79636275601 = 162680^2 + 282199^2 .

It is a cyclic number.

It is not a de Polignac number, because 106101058001 - 2³⁴ = 88921188817 is a prime.

It is a super-2 number, since 2×106101058001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106101058601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167351510 + ... + 167352143.

It is an arithmetic number, because the mean of its divisors is an integer number (26608940493).

Almost surely, 2^106101058001 is an apocalyptic number.

It is an amenable number.

106101058001 is a deficient number, since it is larger than the sum of its proper divisors (334703971).

106101058001 is an equidigital number, since it uses as much as digits as its factorization.

106101058001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334703970.

The product of its (nonzero) digits is 240, while the sum is 23.

Adding to 106101058001 its reverse (100850101601), we get a palindrome (206951159602).

The spelling of 106101058001 in words is "one hundred six billion, one hundred one million, fifty-eight thousand, one".