10105206651101 has 16 divisors (see below), whose sum is σ = 11097609942960. Its totient is φ = 9162113356800.

The previous prime is 10105206651041. The next prime is 10105206651107. The reversal of 10105206651101 is 10115660250101.

It can be written as a sum of positive squares in 8 ways, for example, as 5725085071225 + 4380121579876 = 2392715^2 + 2092874^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105206651101 - 2¹⁴ = 10105206634717 is a prime.

It is a super-2 number, since 2×10105206651101² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105206651107) 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, 79468706 + ... + 79595763.

It is an arithmetic number, because the mean of its divisors is an integer number (693600621435).

Almost surely, 2^{10105206651101} is an apocalyptic number.

It is an amenable number.

10105206651101 is a deficient number, since it is larger than the sum of its proper divisors (992403291859).

10105206651101 is a wasteful number, since it uses less digits than its factorization.

10105206651101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159064624.

The product of its (nonzero) digits is 1800, while the sum is 29.

The spelling of 10105206651101 in words is "ten trillion, one hundred five billion, two hundred six million, six hundred fifty-one thousand, one hundred one".