101012002001012 has 72 divisors (see below), whose sum is σ = 193431018735360. Its totient is φ = 46100324914560.

The previous prime is 101012002000927. The next prime is 101012002001017. The reversal of 101012002001012 is 210100200210101.

It is a junction number, because it is equal to n+sod(n) for n = 101012002000984 and 101012002001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012002001017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5191064 + ... + 15131792.

It is an arithmetic number, because the mean of its divisors is an integer number (2686541926880).

Almost surely, 2^{101012002001012} is an apocalyptic number.

It is an amenable number.

101012002001012 is a deficient number, since it is larger than the sum of its proper divisors (92419016734348).

101012002001012 is a wasteful number, since it uses less digits than its factorization.

101012002001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9941029 (or 9941008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101012002001012 its reverse (210100200210101), we get a palindrome (311112202211113).

The spelling of 101012002001012 in words is "one hundred one trillion, twelve billion, two million, one thousand, twelve".