1011002112001 has 16 divisors (see below), whose sum is σ = 1167806160000. Its totient is φ = 857305612800.

The previous prime is 1011002111953. The next prime is 1011002112011. The reversal of 1011002112001 is 1002112001101.

1011002112001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011002112001 - 2¹³ = 1011002103809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011002112011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310590 + ... + 1455496.

It is an arithmetic number, because the mean of its divisors is an integer number (72987885000).

Almost surely, 2^{1011002112001} is an apocalyptic number.

It is an amenable number.

1011002112001 is a deficient number, since it is larger than the sum of its proper divisors (156804047999).

1011002112001 is a wasteful number, since it uses less digits than its factorization.

1011002112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146264.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011002112001 its reverse (1002112001101), we get a palindrome (2013114113102).

It can be divided in two parts, 101 and 1002112001, that multiplied together give a palindrome (101213312101).

The spelling of 1011002112001 in words is "one trillion, eleven billion, two million, one hundred twelve thousand, one".