10202242402120 has 16 divisors (see below), whose sum is σ = 22955045404860. Its totient is φ = 4080896960832.

The previous prime is 10202242402109. The next prime is 10202242402129. The reversal of 10202242402120 is 2120424220201.

It can be written as a sum of positive squares in 2 ways, for example, as 9439998161764 + 762244240356 = 3072458^2 + 873066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10202242402091 and 10202242402100.

It is not an unprimeable number, because it can be changed into a prime (10202242402129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127528029987 + ... + 127528030066.

Almost surely, 2^{10202242402120} is an apocalyptic number.

10202242402120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202242402120 is an abundant number, since it is smaller than the sum of its proper divisors (12752803002740).

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

10202242402120 is a wasteful number, since it uses less digits than its factorization.

10202242402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255056060064 (or 255056060060 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10202242402120 its reverse (2120424220201), we get a palindrome (12322666622321).

The spelling of 10202242402120 in words is "ten trillion, two hundred two billion, two hundred forty-two million, four hundred two thousand, one hundred twenty".