10211011002112 has 72 divisors (see below), whose sum is σ = 20883217419792. Its totient is φ = 4980037017600.

The previous prime is 10211011002107. The next prime is 10211011002113. The reversal of 10211011002112 is 21120011011201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10211011002092 and 10211011002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211011002113) 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, 56977287 + ... + 57156217.

It is an arithmetic number, because the mean of its divisors is an integer number (290044686386).

Almost surely, 2^{10211011002112} 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 10211011002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10441608709896).

10211011002112 is an abundant number, since it is smaller than the sum of its proper divisors (10672206417680).

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

10211011002112 is an equidigital number, since it uses as much as digits as its factorization.

10211011002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184425 (or 184411 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10211011002112 its reverse (21120011011201), we get a palindrome (31331022013313).

The spelling of 10211011002112 in words is "ten trillion, two hundred eleven billion, eleven million, two thousand, one hundred twelve".