101221212211101 has 24 divisors (see below), whose sum is σ = 151250628372480. Its totient is φ = 65153650607136.

The previous prime is 101221212211099. The next prime is 101221212211121. The reversal of 101221212211101 is 101112212122101.

It is a happy number.

101221212211101 is a `hidden beast` number, since 10 + 1 + 221 + 212 + 211 + 10 + 1 = 666.

It is not a de Polignac number, because 101221212211101 - 2¹ = 101221212211099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221212211121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100759576 + ... + 101759198.

It is an arithmetic number, because the mean of its divisors is an integer number (6302109515520).

Almost surely, 2^{101221212211101} is an apocalyptic number.

It is an amenable number.

101221212211101 is a deficient number, since it is larger than the sum of its proper divisors (50029416161379).

101221212211101 is a wasteful number, since it uses less digits than its factorization.

101221212211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387625 (or 1387622 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101221212211101 its reverse (101112212122101), we get a palindrome (202333424333202).

The spelling of 101221212211101 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twelve million, two hundred eleven thousand, one hundred one".