10001201110120 has 64 divisors (see below), whose sum is σ = 24914796868800. Its totient is φ = 3582519790080.

The previous prime is 10001201110063. The next prime is 10001201110141. The reversal of 10001201110120 is 2101110210001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10001201110097 and 10001201110106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169597405 + ... + 169656364.

It is an arithmetic number, because the mean of its divisors is an integer number (389293701075).

Almost surely, 2^{10001201110120} is an apocalyptic number.

10001201110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001201110120 is an abundant number, since it is smaller than the sum of its proper divisors (14913595758680).

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

10001201110120 is a wasteful number, since it uses less digits than its factorization.

10001201110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339253858 (or 339253854 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001201110120 its reverse (2101110210001), we get a palindrome (12102311320121).

The spelling of 10001201110120 in words is "ten trillion, one billion, two hundred one million, one hundred ten thousand, one hundred twenty".