100000001000010 has 64 divisors (see below), whose sum is σ = 249958129837824. Its totient is φ = 25580510323200.

The previous prime is 100000000999993. The next prime is 100000001000027. The reversal of 100000001000010 is 10000100000001.

It is an interprime number because it is at equal distance from previous prime (100000000999993) and next prime (100000001000027).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

100000001000010 is a modest number, since divided by 1000010 gives 10000 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100000000999959 and 100000001000004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634358451 + ... + 634516070.

It is an arithmetic number, because the mean of its divisors is an integer number (3905595778716).

Almost surely, 2^{100000001000010} is an apocalyptic number.

100000001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100000001000010 is an abundant number, since it is smaller than the sum of its proper divisors (149958128837814).

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

100000001000010 is a wasteful number, since it uses less digits than its factorization.

100000001000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268874639.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 100000001000010 its reverse (10000100000001), we get a palindrome (110000101000011).

The spelling of 100000001000010 in words is "one hundred trillion, one million, ten", and thus it is an aban number.