10201000332020 has 96 divisors (see below), whose sum is σ = 22896220741632. Its totient is φ = 3804238061568.

The previous prime is 10201000331993. The next prime is 10201000332053. The reversal of 10201000332020 is 2023300010201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10201000331986 and 10201000332004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27754892 + ... + 28120028.

It is an arithmetic number, because the mean of its divisors is an integer number (238502299392).

Almost surely, 2^{10201000332020} is an apocalyptic number.

10201000332020 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 10201000332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11448110370816).

10201000332020 is an abundant number, since it is smaller than the sum of its proper divisors (12695220409612).

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

10201000332020 is a wasteful number, since it uses less digits than its factorization.

10201000332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365937 (or 365935 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10201000332020 its reverse (2023300010201), we get a palindrome (12224300342221).

The spelling of 10201000332020 in words is "ten trillion, two hundred one billion, three hundred thirty-two thousand, twenty".