101102211201001 has 16 divisors (see below), whose sum is σ = 111052677104640. Its totient is φ = 91614839492880.

The previous prime is 101102211200993. The next prime is 101102211201007. The reversal of 101102211201001 is 100102112201101.

It is a happy number.

It is not a de Polignac number, because 101102211201001 - 2³ = 101102211200993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102211201007) 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, 20116516 + ... + 24634906.

It is an arithmetic number, because the mean of its divisors is an integer number (6940792319040).

Almost surely, 2^{101102211201001} is an apocalyptic number.

It is an amenable number.

101102211201001 is a deficient number, since it is larger than the sum of its proper divisors (9950465903639).

101102211201001 is a wasteful number, since it uses less digits than its factorization.

101102211201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569636.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101102211201001 its reverse (100102112201101), we get a palindrome (201204323402102).

The spelling of 101102211201001 in words is "one hundred one trillion, one hundred two billion, two hundred eleven million, two hundred one thousand, one".