1001010106106 has 8 divisors (see below), whose sum is σ = 1589839580340. Its totient is φ = 471063579328.

The previous prime is 1001010106097. The next prime is 1001010106127. The reversal of 1001010106106 is 6016010101001.

1001010106106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 986762102881 + 14248003225 = 993359^2 + 119365^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14720736821 + ... + 14720736888.

Almost surely, 2^{1001010106106} is an apocalyptic number.

1001010106106 is a deficient number, since it is larger than the sum of its proper divisors (588829474234).

1001010106106 is a wasteful number, since it uses less digits than its factorization.

1001010106106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29441473728.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1001010106106 its reverse (6016010101001), we get a palindrome (7017020207107).

The spelling of 1001010106106 in words is "one trillion, one billion, ten million, one hundred six thousand, one hundred six".