10001200210020 has 144 divisors (see below), whose sum is σ = 31722066754560. Its totient is φ = 2545704530688.

The previous prime is 10001200210007. The next prime is 10001200210021. The reversal of 10001200210020 is 2001200210001.

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 = 10001200209984 and 10001200210011.

It is not an unprimeable number, because it can be changed into a prime (10001200210021) 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 47 ways as a sum of consecutive naturals, for example, 538599 + ... + 4504718.

It is an arithmetic number, because the mean of its divisors is an integer number (220292130240).

Almost surely, 2^{10001200210020} is an apocalyptic number.

10001200210020 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 10001200210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861033377280).

10001200210020 is an abundant number, since it is smaller than the sum of its proper divisors (21720866544540).

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

10001200210020 is a wasteful number, since it uses less digits than its factorization.

10001200210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5043834 (or 5043829 counting only the distinct ones).

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

Adding to 10001200210020 its reverse (2001200210001), we get a palindrome (12002400420021).

The spelling of 10001200210020 in words is "ten trillion, one billion, two hundred million, two hundred ten thousand, twenty".