10201020102020 has 24 divisors (see below), whose sum is σ = 23369609688768. Its totient is φ = 3709461855200.

The previous prime is 10201020101947. The next prime is 10201020102029. The reversal of 10201020102020 is 2020102010201.

It is a happy number.

It is a super-2 number, since 2×10201020102020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a junction number, because it is equal to n+sod(n) for n = 10201020101992 and 10201020102010.

It is not an unprimeable number, because it can be changed into a prime (10201020102029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23184136376 + ... + 23184136815.

It is an arithmetic number, because the mean of its divisors is an integer number (973733737032).

Almost surely, 2^{10201020102020} is an apocalyptic number.

10201020102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201020102020 is an abundant number, since it is smaller than the sum of its proper divisors (13168589586748).

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

10201020102020 is a wasteful number, since it uses less digits than its factorization.

10201020102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46368273211 (or 46368273209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10201020102020 its reverse (2020102010201), we get a palindrome (12221122112221).

The spelling of 10201020102020 in words is "ten trillion, two hundred one billion, twenty million, one hundred two thousand, twenty".