10242100020 has 96 divisors (see below), whose sum is σ = 29371644288. Its totient is φ = 2665930752.

The previous prime is 10242100009. The next prime is 10242100021. The reversal of 10242100020 is 2000124201.

It is a super-2 number, since 2×10242100020² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10242099969 and 10242100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242100021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412807 + ... + 436913.

It is an arithmetic number, because the mean of its divisors is an integer number (305954628).

Almost surely, 2^10242100020 is an apocalyptic number.

10242100020 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 10242100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14685822144).

10242100020 is an abundant number, since it is smaller than the sum of its proper divisors (19129544268).

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

10242100020 is a wasteful number, since it uses less digits than its factorization.

10242100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24289 (or 24287 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10242100020 its reverse (2000124201), we get a palindrome (12242224221).

The spelling of 10242100020 in words is "ten billion, two hundred forty-two million, one hundred thousand, twenty".