101201021212011 has 64 divisors (see below), whose sum is σ = 155764550430720. Its totient is φ = 57248872087680.

The previous prime is 101201021211959. The next prime is 101201021212033. The reversal of 101201021212011 is 110212120102101.

It is a happy number.

It is not a de Polignac number, because 101201021212011 - 2⁶ = 101201021211947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101201021212051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2554335960 + ... + 2554375578.

It is an arithmetic number, because the mean of its divisors is an integer number (2433821100480).

Almost surely, 2^{101201021212011} is an apocalyptic number.

101201021212011 is a deficient number, since it is larger than the sum of its proper divisors (54563529218709).

101201021212011 is a wasteful number, since it uses less digits than its factorization.

101201021212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41984.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101201021212011 its reverse (110212120102101), we get a palindrome (211413141314112).

The spelling of 101201021212011 in words is "one hundred one trillion, two hundred one billion, twenty-one million, two hundred twelve thousand, eleven".