10212011011120 has 160 divisors (see below), whose sum is σ = 24270400344960. Its totient is φ = 3994582425600.

The previous prime is 10212011011109. The next prime is 10212011011121. The reversal of 10212011011120 is 2111011021201.

It is a happy number.

It is a super-2 number, since 2×10212011011120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10212011011120.

It is not an unprimeable number, because it can be changed into a prime (10212011011121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2421627252 + ... + 2421631468.

It is an arithmetic number, because the mean of its divisors is an integer number (151690002156).

Almost surely, 2^{10212011011120} is an apocalyptic number.

10212011011120 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 10212011011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12135200172480).

10212011011120 is an abundant number, since it is smaller than the sum of its proper divisors (14058389333840).

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

10212011011120 is a wasteful number, since it uses less digits than its factorization.

10212011011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023 (or 6017 counting only the distinct ones).

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

Adding to 10212011011120 its reverse (2111011021201), we get a palindrome (12323022032321).

The spelling of 10212011011120 in words is "ten trillion, two hundred twelve billion, eleven million, eleven thousand, one hundred twenty".