10105111055001 has 16 divisors (see below), whose sum is σ = 14271139816704. Its totient is φ = 6338194869504.

The previous prime is 10105111054993. The next prime is 10105111055027. The reversal of 10105111055001 is 10055011150101.

It is not a de Polignac number, because 10105111055001 - 2³ = 10105111054993 is a prime.

It is a super-2 number, since 2×10105111055001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105111055071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35277345 + ... + 35562638.

It is an arithmetic number, because the mean of its divisors is an integer number (891946238544).

Almost surely, 2^{10105111055001} is an apocalyptic number.

It is an amenable number.

10105111055001 is a deficient number, since it is larger than the sum of its proper divisors (4166028761703).

10105111055001 is a wasteful number, since it uses less digits than its factorization.

10105111055001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70842800.

The product of its (nonzero) digits is 125, while the sum is 21.

The spelling of 10105111055001 in words is "ten trillion, one hundred five billion, one hundred eleven million, fifty-five thousand, one".