10000010001900 has 72 divisors (see below), whose sum is σ = 29931064445520. Its totient is φ = 2574715216640.

The previous prime is 10000010001899. The next prime is 10000010001901. The reversal of 10000010001900 is 910001000001.

10000010001900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10000010001899) and next prime (10000010001901).

It is a super-2 number, since 2×10000010001900² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10000010001901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574704519 + ... + 574721918.

It is an arithmetic number, because the mean of its divisors is an integer number (415709228410).

Almost surely, 2^{10000010001900} is an apocalyptic number.

10000010001900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000010001900 is an abundant number, since it is smaller than the sum of its proper divisors (19931054443620).

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

10000010001900 is a wasteful number, since it uses less digits than its factorization.

10000010001900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149426483 (or 1149426476 counting only the distinct ones).

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

Adding to 10000010001900 its reverse (910001000001), we get a palindrome (10910011001901).

The spelling of 10000010001900 in words is "ten trillion, ten million, one thousand, nine hundred".