101101010012001 has 24 divisors (see below), whose sum is σ = 146408596850984. Its totient is φ = 67228161960960.

The previous prime is 101101010011997. The next prime is 101101010012069. The reversal of 101101010012001 is 100210010101101.

It can be written as a sum of positive squares in 4 ways, for example, as 1945121144976 + 99155888867025 = 1394676^2 + 9957705^2 .

It is not a de Polignac number, because 101101010012001 - 2² = 101101010011997 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101010012801) 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, 89179761 + ... + 90306321.

Almost surely, 2^{101101010012001} is an apocalyptic number.

It is an amenable number.

101101010012001 is a deficient number, since it is larger than the sum of its proper divisors (45307586838983).

101101010012001 is a wasteful number, since it uses less digits than its factorization.

101101010012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152081 (or 1152078 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101010012001 its reverse (100210010101101), we get a palindrome (201311020113102).

The spelling of 101101010012001 in words is "one hundred one trillion, one hundred one billion, ten million, twelve thousand, one".