101001120000012 has 18 divisors (see below), whose sum is σ = 255308386666788. Its totient is φ = 33667039999992.

The previous prime is 101001119999987. The next prime is 101001120000019. The reversal of 101001120000012 is 210000021100101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

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 = 101001119999949 and 101001120000003.

It is not an unprimeable number, because it can be changed into a prime (101001120000019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1402793333298 + ... + 1402793333369.

It is an arithmetic number, because the mean of its divisors is an integer number (14183799259266).

Almost surely, 2^{101001120000012} is an apocalyptic number.

101001120000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001120000012 is an abundant number, since it is smaller than the sum of its proper divisors (154307266666776).

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

101001120000012 is a wasteful number, since it uses less digits than its factorization.

101001120000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805586666677 (or 2805586666672 counting only the distinct ones).

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

Adding to 101001120000012 its reverse (210000021100101), we get a palindrome (311001141100113).

The spelling of 101001120000012 in words is "one hundred one trillion, one billion, one hundred twenty million, twelve", and thus it is an aban number.