100105000001000 has 32 divisors (see below), whose sum is σ = 234245700004680. Its totient is φ = 40042000000000.

The previous prime is 100105000000997. The next prime is 100105000001023. The reversal of 100105000001000 is 100000501001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9953659023364 + 90151340977636 = 3154942^2 + 9494806^2 .

It is a super-2 number, since 2×100105000001000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50052499001 + ... + 50052501000.

Almost surely, 2^{100105000001000} is an apocalyptic number.

100105000001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105000001000 is an abundant number, since it is smaller than the sum of its proper divisors (134140700003680).

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

100105000001000 is a wasteful number, since it uses less digits than its factorization.

100105000001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100105000022 (or 100105000008 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 100105000001000 its reverse (100000501001), we get a palindrome (100205000502001).

The spelling of 100105000001000 in words is "one hundred trillion, one hundred five billion, one thousand".