106101051001 has 16 divisors (see below), whose sum is σ = 119010221568. Its totient is φ = 93741753600.

The previous prime is 106101050987. The next prime is 106101051011. The reversal of 106101051001 is 100150101601.

It is not a de Polignac number, because 106101051001 - 2⁵ = 106101050969 is a prime.

It is a super-2 number, since 2×106101051001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106101051011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210616 + ... + 506518.

It is an arithmetic number, because the mean of its divisors is an integer number (7438138848).

Almost surely, 2^106101051001 is an apocalyptic number.

106101051001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106101051001 is a deficient number, since it is larger than the sum of its proper divisors (12909170567).

106101051001 is a wasteful number, since it uses less digits than its factorization.

106101051001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296832.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 106101051001 its reverse (100150101601), we get a palindrome (206251152602).

The spelling of 106101051001 in words is "one hundred six billion, one hundred one million, fifty-one thousand, one".