1000101900 has 144 divisors (see below), whose sum is σ = 3344785920. Its totient is φ = 225984000.

The previous prime is 1000101887. The next prime is 1000101911. The reversal of 1000101900 is 91010001.

It is a super-2 number, since 2×1000101900² = 2000407620767220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184225 + ... + 189575.

It is an arithmetic number, because the mean of its divisors is an integer number (23227680).

Almost surely, 2^1000101900 is an apocalyptic number.

1000101900 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 1000101900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672392960).

1000101900 is an abundant number, since it is smaller than the sum of its proper divisors (2344684020).

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

1000101900 is a wasteful number, since it uses less digits than its factorization.

1000101900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5457 counting only the distinct ones).

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

The square root of 1000101900 is about 31624.3877411089. The cubic root of 1000101900 is about 1000.0339655130.

Adding to 1000101900 its reverse (91010001), we get a palindrome (1091111901).

It can be divided in two parts, 1000101 and 900, that added together give a palindrome (1001001).

The spelling of 1000101900 in words is "one billion, one hundred one thousand, nine hundred".