10011112121000 has 32 divisors (see below), whose sum is σ = 23426002365480. Its totient is φ = 4004444848000.

The previous prime is 10011112120973. The next prime is 10011112121029. The reversal of 10011112121000 is 12121111001.

It can be written as a sum of positive squares in 4 ways, for example, as 5883331611364 + 4127780509636 = 2425558^2 + 2031694^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5005555061 + ... + 5005557060.

Almost surely, 2^{10011112121000} is an apocalyptic number.

10011112121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011112121000 is an abundant number, since it is smaller than the sum of its proper divisors (13414890244480).

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

10011112121000 is a wasteful number, since it uses less digits than its factorization.

10011112121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011112142 (or 10011112128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011112121000 its reverse (12121111001), we get a palindrome (10023233232001).

The spelling of 10011112121000 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand".