101021212001 has 16 divisors (see below), whose sum is σ = 105875577600. Its totient is φ = 96259363200.

The previous prime is 101021211923. The next prime is 101021212013. The reversal of 101021212001 is 100212120101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101021212001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101021212021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5766866 + ... + 5784356.

It is an arithmetic number, because the mean of its divisors is an integer number (6617223600).

Almost surely, 2^101021212001 is an apocalyptic number.

It is an amenable number.

101021212001 is a deficient number, since it is larger than the sum of its proper divisors (4854365599).

101021212001 is a wasteful number, since it uses less digits than its factorization.

101021212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20120.

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

Adding to 101021212001 its reverse (100212120101), we get a palindrome (201233332102).

The spelling of 101021212001 in words is "one hundred one billion, twenty-one million, two hundred twelve thousand, one".