1001020112001 has 96 divisors (see below), whose sum is σ = 1839634525440. Its totient is φ = 526749350400.

The previous prime is 1001020111967. The next prime is 1001020112023. The reversal of 1001020112001 is 1002110201001.

It is a happy number.

It is not a de Polignac number, because 1001020112001 - 2⁷ = 1001020111873 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 (1001020112201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13409941 + ... + 13484381.

It is an arithmetic number, because the mean of its divisors is an integer number (19162859640).

Almost surely, 2^{1001020112001} is an apocalyptic number.

It is an amenable number.

1001020112001 is a deficient number, since it is larger than the sum of its proper divisors (838614413439).

1001020112001 is a wasteful number, since it uses less digits than its factorization.

1001020112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74904 (or 74885 counting only the distinct ones).

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

Adding to 1001020112001 its reverse (1002110201001), we get a palindrome (2003130313002).

The spelling of 1001020112001 in words is "one trillion, one billion, twenty million, one hundred twelve thousand, one".