10001101200012 has 96 divisors (see below), whose sum is σ = 28048519976960. Its totient is φ = 3063462431040.

The previous prime is 10001101199993. The next prime is 10001101200019. The reversal of 10001101200012 is 21000210110001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001101199967 and 10001101200003.

It is not an unprimeable number, because it can be changed into a prime (10001101200019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15658414 + ... + 16284597.

Almost surely, 2^{10001101200012} is an apocalyptic number.

10001101200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001101200012 is an abundant number, since it is smaller than the sum of its proper divisors (18047418776948).

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

10001101200012 is a wasteful number, since it uses less digits than its factorization.

10001101200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31943260 (or 31943252 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001101200012 its reverse (21000210110001), we get a palindrome (31001311310013).

The spelling of 10001101200012 in words is "ten trillion, one billion, one hundred one million, two hundred thousand, twelve".