102100011212221 has 16 divisors (see below), whose sum is σ = 113201083559808. Its totient is φ = 91313854632000.

The previous prime is 102100011212219. The next prime is 102100011212249. The reversal of 102100011212221 is 122212110001201.

It is not a de Polignac number, because 102100011212221 - 2¹ = 102100011212219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100011212195 and 102100011212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100011212201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292498185 + ... + 292847038.

It is an arithmetic number, because the mean of its divisors is an integer number (7075067722488).

Almost surely, 2^{102100011212221} is an apocalyptic number.

102100011212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102100011212221 is a deficient number, since it is larger than the sum of its proper divisors (11101072347587).

102100011212221 is a wasteful number, since it uses less digits than its factorization.

102100011212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585345492.

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

Adding to 102100011212221 its reverse (122212110001201), we get a palindrome (224312121213422).

It can be divided in two parts, 1021000 and 11212221, that added together give a palindrome (12233221).

The spelling of 102100011212221 in words is "one hundred two trillion, one hundred billion, eleven million, two hundred twelve thousand, two hundred twenty-one".