102220211000101 has 8 divisors (see below), whose sum is σ = 104251706615160. Its totient is φ = 100192523251392.

The previous prime is 102220211000093. The next prime is 102220211000129. The reversal of 102220211000101 is 101000112022201.

It can be written as a sum of positive squares in 4 ways, for example, as 363693424900 + 101856517575201 = 603070^2 + 10092399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102220211000101 - 2³ = 102220211000093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220211000701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951912366 + ... + 952019743.

It is an arithmetic number, because the mean of its divisors is an integer number (13031463326895).

Almost surely, 2^{102220211000101} is an apocalyptic number.

It is an amenable number.

102220211000101 is a deficient number, since it is larger than the sum of its proper divisors (2031495615059).

102220211000101 is a wasteful number, since it uses less digits than its factorization.

102220211000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903933175.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102220211000101 its reverse (101000112022201), we get a palindrome (203220323022302).

The spelling of 102220211000101 in words is "one hundred two trillion, two hundred twenty billion, two hundred eleven million, one hundred one", and thus it is an aban number.