106006101021 has 6 divisors (see below), whose sum is σ = 153119923710. Its totient is φ = 70670734008.

The previous prime is 106006101011. The next prime is 106006101029. The reversal of 106006101021 is 120101600601.

106006101021 is a `hidden beast` number, since 1 + 0 + 600 + 61 + 0 + 1 + 0 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90472217796 + 15533883225 = 300786^2 + 124635^2 .

It is not a de Polignac number, because 106006101021 - 2¹⁵ = 106006068253 is a prime.

It is a super-2 number, since 2×106006101021² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106006100985 and 106006101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106006101029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5889227826 + ... + 5889227843.

It is an arithmetic number, because the mean of its divisors is an integer number (25519987285).

Almost surely, 2^106006101021 is an apocalyptic number.

It is an amenable number.

106006101021 is a deficient number, since it is larger than the sum of its proper divisors (47113822689).

106006101021 is a wasteful number, since it uses less digits than its factorization.

106006101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778455675 (or 11778455672 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 106006101021 its reverse (120101600601), we get a palindrome (226107701622).

The spelling of 106006101021 in words is "one hundred six billion, six million, one hundred one thousand, twenty-one".