101010211201001 has 16 divisors (see below), whose sum is σ = 109046806848000. Its totient is φ = 93277982094528.

The previous prime is 101010211200949. The next prime is 101010211201013. The reversal of 101010211201001 is 100102112010101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101010211201001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101010211201901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77201 + ... + 14213598.

It is an arithmetic number, because the mean of its divisors is an integer number (6815425428000).

Almost surely, 2^{101010211201001} is an apocalyptic number.

It is an amenable number.

101010211201001 is a deficient number, since it is larger than the sum of its proper divisors (8036595646999).

101010211201001 is a wasteful number, since it uses less digits than its factorization.

101010211201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14301448.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101010211201001 its reverse (100102112010101), we get a palindrome (201112323211102).

The spelling of 101010211201001 in words is "one hundred one trillion, ten billion, two hundred eleven million, two hundred one thousand, one".