100101002010010 has 16 divisors (see below), whose sum is σ = 180182015941536. Its totient is φ = 40040353621008.

The previous prime is 100101002009989. The next prime is 100101002010013. The reversal of 100101002010010 is 10010200101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101002009975 and 100101002010002.

It is not an unprimeable number, because it can be changed into a prime (100101002010013) 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 7 ways as a sum of consecutive naturals, for example, 3766777 + ... + 14642083.

It is an arithmetic number, because the mean of its divisors is an integer number (11261375996346).

Almost surely, 2^{100101002010010} is an apocalyptic number.

100101002010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101002010010 is a deficient number, since it is larger than the sum of its proper divisors (80081013931526).

100101002010010 is a wasteful number, since it uses less digits than its factorization.

100101002010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795757.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100101002010010 its reverse (10010200101001), we get a palindrome (110111202111011).

The spelling of 100101002010010 in words is "one hundred trillion, one hundred one billion, two million, ten thousand, ten".