1000010100 has 144 divisors (see below), whose sum is σ = 3101551488. Its totient is φ = 248117760.

The previous prime is 1000010069. The next prime is 1000010101. The reversal of 1000010100 is 10100001.

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000010101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253342 + ... + 257258.

It is an arithmetic number, because the mean of its divisors is an integer number (21538552).

Almost surely, 2^1000010100 is an apocalyptic number.

1000010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550775744).

1000010100 is an abundant number, since it is smaller than the sum of its proper divisors (2101541388).

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

1000010100 is a wasteful number, since it uses less digits than its factorization.

1000010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3987 counting only the distinct ones).

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

The square root of 1000010100 is about 31622.9362963024. The cubic root of 1000010100 is about 1000.0033666553.

Adding to 1000010100 its reverse (10100001), we get a palindrome (1010110101).

It can be divided in two parts, 10000 and 10100, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 1000010100 in words is "one billion, ten thousand, one hundred".