10012102111000 has 256 divisors, whose sum is σ = 27572210939520. Its totient is φ = 3361945600000.

The previous prime is 10012102110931. The next prime is 10012102111003. The reversal of 10012102111000 is 11120121001.

10012102111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012102111003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9405900 + ... + 10416100.

Almost surely, 2^{10012102111000} is an apocalyptic number.

10012102111000 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 10012102111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13786105469760).

10012102111000 is an abundant number, since it is smaller than the sum of its proper divisors (17560108828520).

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

10012102111000 is a wasteful number, since it uses less digits than its factorization.

10012102111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010303 (or 1010289 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10012102111000 its reverse (11120121001), we get a palindrome (10023222232001).

The spelling of 10012102111000 in words is "ten trillion, twelve billion, one hundred two million, one hundred eleven thousand".