10210020021120 has 128 divisors (see below), whose sum is σ = 32910107220000. Its totient is φ = 2692080140288.

The previous prime is 10210020021079. The next prime is 10210020021121. The reversal of 10210020021120 is 2112002001201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10210020021096 and 10210020021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210020021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29703945 + ... + 30045704.

Almost surely, 2^{10210020021120} is an apocalyptic number.

10210020021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210020021120 is an abundant number, since it is smaller than the sum of its proper divisors (22700087198880).

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

10210020021120 is an equidigital number, since it uses as much as digits as its factorization.

10210020021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59749760 (or 59749748 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210020021120 its reverse (2112002001201), we get a palindrome (12322022022321).

The spelling of 10210020021120 in words is "ten trillion, two hundred ten billion, twenty million, twenty-one thousand, one hundred twenty".