100111313121010 has 128 divisors (see below), whose sum is σ = 191492890560000. Its totient is φ = 37606461235200.

The previous prime is 100111313120993. The next prime is 100111313121011. The reversal of 100111313121010 is 10121313111001.

It is not an unprimeable number, because it can be changed into a prime (100111313121011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1819880386 + ... + 1819935394.

It is an arithmetic number, because the mean of its divisors is an integer number (1496038207500).

Almost surely, 2^{100111313121010} is an apocalyptic number.

100111313121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111313121010 is a deficient number, since it is larger than the sum of its proper divisors (91381577438990).

100111313121010 is a wasteful number, since it uses less digits than its factorization.

100111313121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55796.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 100111313121010 its reverse (10121313111001), we get a palindrome (110232626232011).

The spelling of 100111313121010 in words is "one hundred trillion, one hundred eleven billion, three hundred thirteen million, one hundred twenty-one thousand, ten".