101434204021221 has 48 divisors (see below), whose sum is σ = 149715921438720. Its totient is φ = 66147547418880.

The previous prime is 101434204021187. The next prime is 101434204021231. The reversal of 101434204021221 is 122120402434101.

101434204021221 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 420 + 4 + 0 + 212 + 21 = 666.

It is not a de Polignac number, because 101434204021221 - 2³⁸ = 101159326114277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434204021231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8259435601 + ... + 8259447881.

It is an arithmetic number, because the mean of its divisors is an integer number (3119081696640).

Almost surely, 2^{101434204021221} is an apocalyptic number.

It is an amenable number.

101434204021221 is a deficient number, since it is larger than the sum of its proper divisors (48281717417499).

101434204021221 is a wasteful number, since it uses less digits than its factorization.

101434204021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21506 (or 21503 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101434204021221 its reverse (122120402434101), we get a palindrome (223554606455322).

The spelling of 101434204021221 in words is "one hundred one trillion, four hundred thirty-four billion, two hundred four million, twenty-one thousand, two hundred twenty-one".