10132001102120 has 32 divisors (see below), whose sum is σ = 22797100467720. Its totient is φ = 4052783020800.

The previous prime is 10132001102029. The next prime is 10132001102129. The reversal of 10132001102120 is 2120110023101.

It can be written as a sum of positive squares in 4 ways, for example, as 3807470223076 + 6324530879044 = 1951274^2 + 2514862^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10132001102095 and 10132001102104.

It is not an unprimeable number, because it can be changed into a prime (10132001102129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13100114 + ... + 13851966.

Almost surely, 2^{10132001102120} is an apocalyptic number.

10132001102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132001102120 is an abundant number, since it is smaller than the sum of its proper divisors (12665099365600).

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

10132001102120 is a wasteful number, since it uses less digits than its factorization.

10132001102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088765 (or 1088761 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10132001102120 its reverse (2120110023101), we get a palindrome (12252111125221).

The spelling of 10132001102120 in words is "ten trillion, one hundred thirty-two billion, one million, one hundred two thousand, one hundred twenty".