102011202011221 has 16 divisors (see below), whose sum is σ = 103832637825600. Its totient is φ = 100192860028288.

The previous prime is 102011202011171. The next prime is 102011202011239. The reversal of 102011202011221 is 122110202110201.

It is a cyclic number.

It is not a de Polignac number, because 102011202011221 - 2¹¹ = 102011202009173 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011202011195 and 102011202011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011202011291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088850846 + ... + 1088944528.

It is an arithmetic number, because the mean of its divisors is an integer number (6489539864100).

Almost surely, 2^{102011202011221} is an apocalyptic number.

It is an amenable number.

102011202011221 is a deficient number, since it is larger than the sum of its proper divisors (1821435814379).

102011202011221 is a wasteful number, since it uses less digits than its factorization.

102011202011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109988.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102011202011221 its reverse (122110202110201), we get a palindrome (224121404121422).

The spelling of 102011202011221 in words is "one hundred two trillion, eleven billion, two hundred two million, eleven thousand, two hundred twenty-one".