10000211021020 has 96 divisors (see below), whose sum is σ = 23104451462400. Its totient is φ = 3605575680000.

The previous prime is 10000211020981. The next prime is 10000211021027. The reversal of 10000211021020 is 2012011200001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10000211020988 and 10000211021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000211021027) 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 31 ways as a sum of consecutive naturals, for example, 23303395 + ... + 23728645.

It is an arithmetic number, because the mean of its divisors is an integer number (240671369400).

Almost surely, 2^{10000211021020} is an apocalyptic number.

10000211021020 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 10000211021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552225731200).

10000211021020 is an abundant number, since it is smaller than the sum of its proper divisors (13104240441380).

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

10000211021020 is a wasteful number, since it uses less digits than its factorization.

10000211021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426179 (or 426177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10000211021020 its reverse (2012011200001), we get a palindrome (12012222221021).

The spelling of 10000211021020 in words is "ten trillion, two hundred eleven million, twenty-one thousand, twenty".