10111021100012 has 216 divisors, whose sum is σ = 22218486665760. Its totient is φ = 4006369382400.

The previous prime is 10111021099979. The next prime is 10111021100021. The reversal of 10111021100012 is 21000112011101.

10111021100012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10111021099966 and 10111021100002.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 825990212 + ... + 826002452.

Almost surely, 2^{10111021100012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111021100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11109243332880).

10111021100012 is an abundant number, since it is smaller than the sum of its proper divisors (12107465565748).

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

10111021100012 is a wasteful number, since it uses less digits than its factorization.

10111021100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12473 (or 12423 counting only the distinct ones).

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

Adding to 10111021100012 its reverse (21000112011101), we get a palindrome (31111133111113).

The spelling of 10111021100012 in words is "ten trillion, one hundred eleven billion, twenty-one million, one hundred thousand, twelve".