10021000201020 has 216 divisors, whose sum is σ = 32819633971488. Its totient is φ = 2473843046400.

The previous prime is 10021000200983. The next prime is 10021000201057. The reversal of 10021000201020 is 2010200012001.

It is an interprime number because it is at equal distance from previous prime (10021000200983) and next prime (10021000201057).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10021000200993 and 10021000201011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1594225 + ... + 4752215.

It is an arithmetic number, because the mean of its divisors is an integer number (151942749868).

Almost surely, 2^{10021000201020} is an apocalyptic number.

10021000201020 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 10021000201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16409816985744).

10021000201020 is an abundant number, since it is smaller than the sum of its proper divisors (22798633770468).

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

10021000201020 is a wasteful number, since it uses less digits than its factorization.

10021000201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158101 (or 3158079 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021000201020 its reverse (2010200012001), we get a palindrome (12031200213021).

The spelling of 10021000201020 in words is "ten trillion, twenty-one billion, two hundred one thousand, twenty".