100210001000 has 32 divisors (see below), whose sum is σ = 234491404680. Its totient is φ = 40084000000.

The previous prime is 100210000967. The next prime is 100210001027. The reversal of 100210001000 is 100012001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42338000644 + 57872000356 = 205762^2 + 240566^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 50104001 + ... + 50106000.

Almost surely, 2^100210001000 is an apocalyptic number.

100210001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210001000 is an abundant number, since it is smaller than the sum of its proper divisors (134281403680).

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

100210001000 is a wasteful number, since it uses less digits than its factorization.

100210001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100210022 (or 100210008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100210001000 its reverse (100012001), we get a palindrome (100310013001).

The spelling of 100210001000 in words is "one hundred billion, two hundred ten million, one thousand".