10105351101 has 12 divisors (see below), whose sum is σ = 15137234112. Its totient is φ = 6736900572.

The previous prime is 10105351099. The next prime is 10105351103. The reversal of 10105351101 is 10115350101.

10105351101 is a `hidden beast` number, since 10 + 10 + 535 + 110 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10105351099) and next prime (10105351103).

It is not a de Polignac number, because 10105351101 - 2¹ = 10105351099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105351103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20792661 + ... + 20793146.

It is an arithmetic number, because the mean of its divisors is an integer number (1261436176).

Almost surely, 2^10105351101 is an apocalyptic number.

It is an amenable number.

10105351101 is a deficient number, since it is larger than the sum of its proper divisors (5031883011).

10105351101 is an frugal number, since it uses more digits than its factorization.

10105351101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41585822 (or 41585810 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The spelling of 10105351101 in words is "ten billion, one hundred five million, three hundred fifty-one thousand, one hundred one".