10106010101 has 16 divisors (see below), whose sum is σ = 11158224000. Its totient is φ = 9076536000.

The previous prime is 10106010067. The next prime is 10106010119. The reversal of 10106010101 is 10101060101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10106010101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106010121) 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, 406376 + ... + 430526.

It is an arithmetic number, because the mean of its divisors is an integer number (697389000).

Almost surely, 2^10106010101 is an apocalyptic number.

10106010101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10106010101 is a deficient number, since it is larger than the sum of its proper divisors (1052213899).

10106010101 is a wasteful number, since it uses less digits than its factorization.

10106010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24620.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10106010101 its reverse (10101060101), we get a palindrome (20207070202).

The spelling of 10106010101 in words is "ten billion, one hundred six million, ten thousand, one hundred one".