1009010811900 has 576 divisors, whose sum is σ = 3759459379200. Its totient is φ = 203084513280.

The previous prime is 1009010811899. The next prime is 1009010811937. The reversal of 1009010811900 is 91180109001.

It is a happy number.

It is a super-2 number, since 2×1009010811900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 256809136 + ... + 256813064.

It is an arithmetic number, because the mean of its divisors is an integer number (6526839200).

Almost surely, 2^{1009010811900} is an apocalyptic number.

1009010811900 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 1009010811900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879729689600).

1009010811900 is an abundant number, since it is smaller than the sum of its proper divisors (2750448567300).

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

1009010811900 is a wasteful number, since it uses less digits than its factorization.

1009010811900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 30.

The spelling of 1009010811900 in words is "one trillion, nine billion, ten million, eight hundred eleven thousand, nine hundred".