10501105100010 has 64 divisors (see below), whose sum is σ = 28840486752000. Its totient is φ = 2397131292672.

The previous prime is 10501105100009. The next prime is 10501105100021. The reversal of 10501105100010 is 1000150110501.

It is a super-2 number, since 2×10501105100010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32351685 + ... + 32674664.

It is an arithmetic number, because the mean of its divisors is an integer number (450632605500).

Almost surely, 2^{10501105100010} is an apocalyptic number.

10501105100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10501105100010 is an abundant number, since it is smaller than the sum of its proper divisors (18339381651990).

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

10501105100010 is a wasteful number, since it uses less digits than its factorization.

10501105100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65027135.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 10501105100010 its reverse (1000150110501), we get a palindrome (11501255210511).

The spelling of 10501105100010 in words is "ten trillion, five hundred one billion, one hundred five million, one hundred thousand, ten".