102110011000221 has 64 divisors (see below), whose sum is σ = 162605633573376. Its totient is φ = 55777500979200.

The previous prime is 102110011000211. The next prime is 102110011000241. The reversal of 102110011000221 is 122000110011201.

It is not a de Polignac number, because 102110011000221 - 2⁵ = 102110011000189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102110011000197 and 102110011000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110011000211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40534081 + ... + 42979433.

It is an arithmetic number, because the mean of its divisors is an integer number (2540713024584).

Almost surely, 2^{102110011000221} is an apocalyptic number.

It is an amenable number.

102110011000221 is a deficient number, since it is larger than the sum of its proper divisors (60495622573155).

102110011000221 is a wasteful number, since it uses less digits than its factorization.

102110011000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446342.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102110011000221 its reverse (122000110011201), we get a palindrome (224110121011422).

The spelling of 102110011000221 in words is "one hundred two trillion, one hundred ten billion, eleven million, two hundred twenty-one", and thus it is an aban number.