10111012000 has 48 divisors (see below), whose sum is σ = 24842766312. Its totient is φ = 4044403200.

The previous prime is 10111011997. The next prime is 10111012007. The reversal of 10111012000 is 21011101.

It can be written as a sum of positive squares in 4 ways, for example, as 1579903504 + 8531108496 = 39748^2 + 92364^2 .

It is not an unprimeable number, because it can be changed into a prime (10111012007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259877 + ... + 1267876.

Almost surely, 2^10111012000 is an apocalyptic number.

10111012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111012000 is an abundant number, since it is smaller than the sum of its proper divisors (14731754312).

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

10111012000 is an equidigital number, since it uses as much as digits as its factorization.

10111012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527778 (or 2527760 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10111012000 its reverse (21011101), we get a palindrome (10132023101).

It can be divided in two parts, 1011101 and 2000, that added together give a palindrome (1013101).

The spelling of 10111012000 in words is "ten billion, one hundred eleven million, twelve thousand".