102111222210101 has 8 divisors (see below), whose sum is σ = 109978003967160. Its totient is φ = 94246165075392.

The previous prime is 102111222210061. The next prime is 102111222210113. The reversal of 102111222210101 is 101012222111201.

It can be written as a sum of positive squares in 4 ways, for example, as 801481515025 + 101309740695076 = 895255^2 + 10065274^2 .

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 102111222210101 - 2¹⁸ = 102111221947957 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102111222210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111222210161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431032610 + ... + 431269443.

It is an arithmetic number, because the mean of its divisors is an integer number (13747250495895).

Almost surely, 2^{102111222210101} is an apocalyptic number.

It is an amenable number.

102111222210101 is a deficient number, since it is larger than the sum of its proper divisors (7866781757059).

102111222210101 is an equidigital number, since it uses as much as digits as its factorization.

102111222210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862311175.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102111222210101 its reverse (101012222111201), we get a palindrome (203123444321302).

The spelling of 102111222210101 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-two million, two hundred ten thousand, one hundred one".