10201012202120 has 16 divisors (see below), whose sum is σ = 22952277454860. Its totient is φ = 4080404880832.

The previous prime is 10201012202089. The next prime is 10201012202209. The reversal of 10201012202120 is 2120221010201.

It can be written as a sum of positive squares in 2 ways, for example, as 9942405372964 + 258606829156 = 3153158^2 + 508534^2 .

It is a super-2 number, since 2×10201012202120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10201012202095 and 10201012202104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127512652487 + ... + 127512652566.

Almost surely, 2^{10201012202120} is an apocalyptic number.

10201012202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201012202120 is an abundant number, since it is smaller than the sum of its proper divisors (12751265252740).

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

10201012202120 is a wasteful number, since it uses less digits than its factorization.

10201012202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255025305064 (or 255025305060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10201012202120 its reverse (2120221010201), we get a palindrome (12321233212321).

The spelling of 10201012202120 in words is "ten trillion, two hundred one billion, twelve million, two hundred two thousand, one hundred twenty".