101202212011001 has 8 divisors (see below), whose sum is σ = 101237419272264. Its totient is φ = 101167008203520.

The previous prime is 101202212010931. The next prime is 101202212011007. The reversal of 101202212011001 is 100110212202101.

It can be written as a sum of positive squares in 4 ways, for example, as 14214860467600 + 86987351543401 = 3770260^2 + 9326701^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101202212011001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101202212011007) 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 7 ways as a sum of consecutive naturals, for example, 58458011 + ... + 60164303.

It is an arithmetic number, because the mean of its divisors is an integer number (12654677409033).

Almost surely, 2^{101202212011001} is an apocalyptic number.

It is an amenable number.

101202212011001 is a deficient number, since it is larger than the sum of its proper divisors (35207261263).

101202212011001 is a wasteful number, since it uses less digits than its factorization.

101202212011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726891.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101202212011001 its reverse (100110212202101), we get a palindrome (201312424213102).

The spelling of 101202212011001 in words is "one hundred one trillion, two hundred two billion, two hundred twelve million, eleven thousand, one".