10002012221020 has 192 divisors, whose sum is σ = 22850612822016. Its totient is φ = 3663065640960.

The previous prime is 10002012221009. The next prime is 10002012221023. The reversal of 10002012221020 is 2012221020001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002012221023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2754614605 + ... + 2754618235.

It is an arithmetic number, because the mean of its divisors is an integer number (119013608448).

Almost surely, 2^{10002012221020} is an apocalyptic number.

10002012221020 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 10002012221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11425306411008).

10002012221020 is an abundant number, since it is smaller than the sum of its proper divisors (12848600600996).

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

10002012221020 is a wasteful number, since it uses less digits than its factorization.

10002012221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10002012221020 its reverse (2012221020001), we get a palindrome (12014233241021).

The spelling of 10002012221020 in words is "ten trillion, two billion, twelve million, two hundred twenty-one thousand, twenty".