101221011211211 has 8 divisors (see below), whose sum is σ = 101544436767600. Its totient is φ = 100897882243200.

The previous prime is 101221011211153. The next prime is 101221011211217. The reversal of 101221011211211 is 112112110122101.

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-101221011211211 is a prime.

It is a super-3 number, since 3×101221011211211³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101221011211211.

It is not an unprimeable number, because it can be changed into a prime (101221011211217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73463426 + ... + 74828583.

It is an arithmetic number, because the mean of its divisors is an integer number (12693054595950).

Almost surely, 2^{101221011211211} is an apocalyptic number.

101221011211211 is a deficient number, since it is larger than the sum of its proper divisors (323425556389).

101221011211211 is a wasteful number, since it uses less digits than its factorization.

101221011211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148294189.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101221011211211 its reverse (112112110122101), we get a palindrome (213333121333312).

The spelling of 101221011211211 in words is "one hundred one trillion, two hundred twenty-one billion, eleven million, two hundred eleven thousand, two hundred eleven".