1901010000 has 100 divisors (see below), whose sum is σ = 6136810592. Its totient is φ = 506928000.

The previous prime is 1901009969. The next prime is 1901010011. The reversal of 1901010000 is 101091.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1901010000² = 7227678040200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1684 + ... + 61683.

Almost surely, 2^1901010000 is an apocalyptic number.

1901010000 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 1901010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068405296).

1901010000 is an abundant number, since it is smaller than the sum of its proper divisors (4235800592).

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

1901010000 is an equidigital number, since it uses as much as digits as its factorization.

1901010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63398 (or 63377 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 1901010000 is about 43600.5733907250. The cubic root of 1901010000 is about 1238.7817553072.

Adding to 1901010000 its reverse (101091), we get a palindrome (1901111091).

The spelling of 1901010000 in words is "one billion, nine hundred one million, ten thousand".