102110001122221 has 16 divisors (see below), whose sum is σ = 104304606951600. Its totient is φ = 99945141004800.

The previous prime is 102110001122219. The next prime is 102110001122231. The reversal of 102110001122221 is 122221100011201.

It can be written as a sum of positive squares in 8 ways, for example, as 22639658353225 + 79470342768996 = 4758115^2 + 8914614^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110001122221 - 2¹ = 102110001122219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102110001122195 and 102110001122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110001122231) 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, 13219896 + ... + 19467553.

It is an arithmetic number, because the mean of its divisors is an integer number (6519037934475).

Almost surely, 2^{102110001122221} is an apocalyptic number.

It is an amenable number.

102110001122221 is a deficient number, since it is larger than the sum of its proper divisors (2194605829379).

102110001122221 is a wasteful number, since it uses less digits than its factorization.

102110001122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32687904.

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

Adding to 102110001122221 its reverse (122221100011201), we get a palindrome (224331101133422).

The spelling of 102110001122221 in words is "one hundred two trillion, one hundred ten billion, one million, one hundred twenty-two thousand, two hundred twenty-one".