10201032200120 has 64 divisors (see below), whose sum is σ = 23160320629920. Its totient is φ = 4043450650624.

The previous prime is 10201032200119. The next prime is 10201032200137. The reversal of 10201032200120 is 2100223010201.

It is a happy number.

It is a super-2 number, since 2×10201032200120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10201032200095 and 10201032200104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21428927 + ... + 21899793.

Almost surely, 2^{10201032200120} is an apocalyptic number.

10201032200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201032200120 is an abundant number, since it is smaller than the sum of its proper divisors (12959288429800).

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

10201032200120 is a wasteful number, since it uses less digits than its factorization.

10201032200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475784 (or 475780 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10201032200120 its reverse (2100223010201), we get a palindrome (12301255210321).

It can be divided in two parts, 1020103 and 2200120, that added together give a palindrome (3220223).

The spelling of 10201032200120 in words is "ten trillion, two hundred one billion, thirty-two million, two hundred thousand, one hundred twenty".