10201121020 has 48 divisors (see below), whose sum is σ = 22210272000. Its totient is φ = 3931522560.

The previous prime is 10201121017. The next prime is 10201121089. The reversal of 10201121020 is 2012110201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10201120988 and 10201121006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106056 + ... + 177904.

It is an arithmetic number, because the mean of its divisors is an integer number (462714000).

Almost surely, 2^10201121020 is an apocalyptic number.

10201121020 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 10201121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105136000).

10201121020 is an abundant number, since it is smaller than the sum of its proper divisors (12009150980).

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

10201121020 is a wasteful number, since it uses less digits than its factorization.

10201121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72118 (or 72116 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201121020 its reverse (2012110201), we get a palindrome (12213231221).

The spelling of 10201121020 in words is "ten billion, two hundred one million, one hundred twenty-one thousand, twenty".