100001010010010 has 48 divisors (see below), whose sum is σ = 191408723755704. Its totient is φ = 37608904286208.

The previous prime is 100001010010007. The next prime is 100001010010037. The reversal of 100001010010010 is 10010010100001.

It can be written as a sum of positive squares in 12 ways, for example, as 51815796425761 + 48185213584249 = 7198319^2 + 6941557^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100001010009976 and 100001010010003.

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, 14884979 + ... + 20532038.

Almost surely, 2^{100001010010010} is an apocalyptic number.

100001010010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100001010010010 is a deficient number, since it is larger than the sum of its proper divisors (91407713745694).

100001010010010 is a wasteful number, since it uses less digits than its factorization.

100001010010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35418035 (or 35418018 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100001010010010 its reverse (10010010100001), we get a palindrome (110011020110011).

The spelling of 100001010010010 in words is "one hundred trillion, one billion, ten million, ten thousand, ten".