10100120001200 has 60 divisors (see below), whose sum is σ = 24299288004960. Its totient is φ = 4034428903680.

The previous prime is 10100120001149. The next prime is 10100120001217. The reversal of 10100120001200 is 210002100101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17271719 + ... + 17846918.

It is an arithmetic number, because the mean of its divisors is an integer number (404988133416).

Almost surely, 2^{10100120001200} is an apocalyptic number.

10100120001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100120001200 is an abundant number, since it is smaller than the sum of its proper divisors (14199168003760).

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

10100120001200 is a wasteful number, since it uses less digits than its factorization.

10100120001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35119374 (or 35119363 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100120001200 its reverse (210002100101), we get a palindrome (10310122101301).

The spelling of 10100120001200 in words is "ten trillion, one hundred billion, one hundred twenty million, one thousand, two hundred".