1010010000 has 200 divisors, whose sum is σ = 3298119264. Its totient is φ = 266240000.

The previous prime is 1010009993. The next prime is 1010010007. The reversal of 1010010000 is 100101.

It is an interprime number because it is at equal distance from previous prime (1010009993) and next prime (1010010007).

It is a tau number, because it is divible by the number of its divisors (200).

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 (1010010007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3929872 + ... + 3930128.

Almost surely, 2^1010010000 is an apocalyptic number.

1010010000 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 1010010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649059632).

1010010000 is an abundant number, since it is smaller than the sum of its proper divisors (2288109264).

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

1010010000 is a wasteful number, since it uses less digits than its factorization.

1010010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 398 counting only the distinct ones).

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

The square root of 1010010000 is about 31780.6544929459. The cubic root of 1010010000 is about 1003.3255948258.

Adding to 1010010000 its reverse (100101), we get a palindrome (1010110101).

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

The spelling of 1010010000 in words is "one billion, ten million, ten thousand".