100505111051010 has 64 divisors (see below), whose sum is σ = 247903676236800. Its totient is φ = 26058879758592.

The previous prime is 100505111051003. The next prime is 100505111051017. The reversal of 100505111051010 is 10150111505001.

It is an interprime number because it is at equal distance from previous prime (100505111051003) and next prime (100505111051017).

It is not an unprimeable number, because it can be changed into a prime (100505111051017) by changing a digit.

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, 29863845 + ... + 33058424.

It is an arithmetic number, because the mean of its divisors is an integer number (3873494941200).

Almost surely, 2^{100505111051010} is an apocalyptic number.

100505111051010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100505111051010 is an abundant number, since it is smaller than the sum of its proper divisors (147398565185790).

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

100505111051010 is a wasteful number, since it uses less digits than its factorization.

100505111051010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62923755.

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

Adding to 100505111051010 its reverse (10150111505001), we get a palindrome (110655222556011).

The spelling of 100505111051010 in words is "one hundred trillion, five hundred five billion, one hundred eleven million, fifty-one thousand, ten".