10002123211020 has 192 divisors, whose sum is σ = 29689592325120. Its totient is φ = 2512190241792.

The previous prime is 10002123211007. The next prime is 10002123211081. The reversal of 10002123211020 is 2011232120001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11591254 + ... + 12424226.

It is an arithmetic number, because the mean of its divisors is an integer number (154633293360).

Almost surely, 2^{10002123211020} is an apocalyptic number.

10002123211020 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 10002123211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844796162560).

10002123211020 is an abundant number, since it is smaller than the sum of its proper divisors (19687469114100).

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

10002123211020 is a wasteful number, since it uses less digits than its factorization.

10002123211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833184 (or 833182 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10002123211020 its reverse (2011232120001), we get a palindrome (12013355331021).

The spelling of 10002123211020 in words is "ten trillion, two billion, one hundred twenty-three million, two hundred eleven thousand, twenty".