10105101 has 16 divisors (see below), whose sum is σ = 15454720. Its totient is φ = 6518880.

The previous prime is 10105097. The next prime is 10105133. The reversal of 10105101 is 10150101.

It is not a de Polignac number, because 10105101 - 2² = 10105097 is a prime.

It is a super-2 number, since 2×10105101² = 204226132440402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105801) 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, 5200 + ... + 6873.

It is an arithmetic number, because the mean of its divisors is an integer number (965920).

Almost surely, 2^10105101 is an apocalyptic number.

It is an amenable number.

10105101 is a deficient number, since it is larger than the sum of its proper divisors (5349619).

10105101 is a wasteful number, since it uses less digits than its factorization.

10105101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12113 (or 12107 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 10105101 is about 3178.8521513276. The cubic root of 10105101 is about 216.1956175412.

Adding to 10105101 its reverse (10150101), we get a palindrome (20255202).

It can be divided in two parts, 10 and 105101, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 10105101 in words is "ten million, one hundred five thousand, one hundred one".