100100020100 has 36 divisors (see below), whose sum is σ = 217270497444. Its totient is φ = 40030154880.

The previous prime is 100100020081. The next prime is 100100020133. The reversal of 100100020100 is 1020001001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12180653956 + 87919366144 = 110366^2 + 296512^2 .

It is a super-3 number, since 3×100100020100³ (a number of 34 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 292202 + ... + 534398.

Almost surely, 2^100100020100 is an apocalyptic number.

100100020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100020100 is an abundant number, since it is smaller than the sum of its proper divisors (117170477344).

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

100100020100 is a wasteful number, since it uses less digits than its factorization.

100100020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246344 (or 246337 counting only the distinct ones).

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

Adding to 100100020100 its reverse (1020001001), we get a palindrome (101120021101).

The spelling of 100100020100 in words is "one hundred billion, one hundred million, twenty thousand, one hundred".