101102212001 has 6 divisors (see below), whose sum is σ = 117608695650. Its totient is φ = 86659038816.

The previous prime is 101102211941. The next prime is 101102212037. The reversal of 101102212001 is 100212201101.

It can be written as a sum of positive squares in only one way, i.e., 89529616225 + 11572595776 = 299215^2 + 107576^2 .

It is not a de Polignac number, because 101102212001 - 2³⁰ = 100028470177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102215001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1031655176 + ... + 1031655273.

It is an arithmetic number, because the mean of its divisors is an integer number (19601449275).

Almost surely, 2^101102212001 is an apocalyptic number.

It is an amenable number.

101102212001 is a deficient number, since it is larger than the sum of its proper divisors (16506483649).

101102212001 is an equidigital number, since it uses as much as digits as its factorization.

101102212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063310463 (or 2063310456 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101102212001 its reverse (100212201101), we get a palindrome (201314413102).

The spelling of 101102212001 in words is "one hundred one billion, one hundred two million, two hundred twelve thousand, one".