10201101020 has 72 divisors (see below), whose sum is σ = 23645895504. Its totient is φ = 3693888000.

The previous prime is 10201101011. The next prime is 10201101023. The reversal of 10201101020 is 2010110201.

It is a junction number, because it is equal to n+sod(n) for n = 10201100989 and 10201101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201101023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574475 + ... + 591965.

Almost surely, 2^10201101020 is an apocalyptic number.

10201101020 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 10201101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822947752).

10201101020 is an abundant number, since it is smaller than the sum of its proper divisors (13444794484).

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

10201101020 is a wasteful number, since it uses less digits than its factorization.

10201101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17763 (or 17750 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10201101020 its reverse (2010110201), we get a palindrome (12211211221).

The spelling of 10201101020 in words is "ten billion, two hundred one million, one hundred one thousand, twenty".