101010002012001 has 12 divisors (see below), whose sum is σ = 146019224529360. Its totient is φ = 67286514438360.

The previous prime is 101010002011969. The next prime is 101010002012039. The reversal of 101010002012001 is 100210200010101.

It is a happy number.

It is not a de Polignac number, because 101010002012001 - 2⁵ = 101010002011969 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101010002012041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4457229955 + ... + 4457252616.

It is an arithmetic number, because the mean of its divisors is an integer number (12168268710780).

Almost surely, 2^{101010002012001} is an apocalyptic number.

It is an amenable number.

101010002012001 is a deficient number, since it is larger than the sum of its proper divisors (45009222517359).

101010002012001 is a wasteful number, since it uses less digits than its factorization.

101010002012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8914483836 (or 8914483833 counting only the distinct ones).

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

Adding to 101010002012001 its reverse (100210200010101), we get a palindrome (201220202022102).

The spelling of 101010002012001 in words is "one hundred one trillion, ten billion, two million, twelve thousand, one".