10211021042112 has 672 divisors, whose sum is σ = 33527356262400. Its totient is φ = 2942985830400.

The previous prime is 10211021042093. The next prime is 10211021042113. The reversal of 10211021042112 is 21124012011201.

10211021042112 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 0 + 210 + 421 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211021042113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10119941064 + ... + 10119942072.

It is an arithmetic number, because the mean of its divisors is an integer number (49891899200).

Almost surely, 2^{10211021042112} is an apocalyptic number.

10211021042112 is a gapful number since it is divisible by the number (12) 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 10211021042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763678131200).

10211021042112 is an abundant number, since it is smaller than the sum of its proper divisors (23316335220288).

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

10211021042112 is a wasteful number, since it uses less digits than its factorization.

10211021042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10211021042112 its reverse (21124012011201), we get a palindrome (31335033053313).

The spelling of 10211021042112 in words is "ten trillion, two hundred eleven billion, twenty-one million, forty-two thousand, one hundred twelve".