10100001005105 has 64 divisors (see below), whose sum is σ = 13388328000000. Its totient is φ = 7253588643840.

The previous prime is 10100001005099. The next prime is 10100001005113. The reversal of 10100001005105 is 50150010000101.

It is not a de Polignac number, because 10100001005105 - 2¹² = 10100001001009 is a prime.

It is a super-2 number, since 2×10100001005105² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100001005105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3471982391 + ... + 3471985299.

It is an arithmetic number, because the mean of its divisors is an integer number (209192625000).

Almost surely, 2^{10100001005105} is an apocalyptic number.

It is an amenable number.

10100001005105 is a deficient number, since it is larger than the sum of its proper divisors (3288326994895).

10100001005105 is a wasteful number, since it uses less digits than its factorization.

10100001005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402.

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 10100001005105 its reverse (50150010000101), we get a palindrome (60250011005206).

The spelling of 10100001005105 in words is "ten trillion, one hundred billion, one million, five thousand, one hundred five".