10105110105100 has 72 divisors (see below), whose sum is σ = 22147654553136. Its totient is φ = 4001580000000.

The previous prime is 10105110105091. The next prime is 10105110105121. The reversal of 10105110105100 is 150101150101.

It is a super-2 number, since 2×10105110105100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99949575 + ... + 100050625.

It is an arithmetic number, because the mean of its divisors is an integer number (307606313238).

Almost surely, 2^{10105110105100} is an apocalyptic number.

10105110105100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105110105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073827276568).

10105110105100 is an abundant number, since it is smaller than the sum of its proper divisors (12042544448036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10105110105100 is a wasteful number, since it uses less digits than its factorization.

10105110105100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111067 (or 111060 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 16.

Adding to 10105110105100 its reverse (150101150101), we get a palindrome (10255211255201).

It can be divided in two parts, 101051 and 10105100, that multiplied together give a square (1021130460100 = 1010510²).

The spelling of 10105110105100 in words is "ten trillion, one hundred five billion, one hundred ten million, one hundred five thousand, one hundred".