102011132020221 has 32 divisors (see below), whose sum is σ = 156173309466240. Its totient is φ = 65768171616000.

The previous prime is 102011132020183. The next prime is 102011132020241. The reversal of 102011132020221 is 122020231110201.

102011132020221 is a `hidden beast` number, since 10 + 2 + 0 + 111 + 320 + 2 + 0 + 221 = 666.

It is not a de Polignac number, because 102011132020221 - 2¹⁰ = 102011132019197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102011132020194 and 102011132020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011132020241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434857420 + ... + 435091941.

It is an arithmetic number, because the mean of its divisors is an integer number (4880415920820).

Almost surely, 2^{102011132020221} is an apocalyptic number.

It is an amenable number.

102011132020221 is a deficient number, since it is larger than the sum of its proper divisors (54162177446019).

102011132020221 is a wasteful number, since it uses less digits than its factorization.

102011132020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869949514 (or 869949508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102011132020221 its reverse (122020231110201), we get a palindrome (224031363130422).

The spelling of 102011132020221 in words is "one hundred two trillion, eleven billion, one hundred thirty-two million, twenty thousand, two hundred twenty-one".