102211202101 has 16 divisors (see below), whose sum is σ = 109368642096. Its totient is φ = 95181520896.

The previous prime is 102211202099. The next prime is 102211202129. The reversal of 102211202101 is 101202112201.

It can be written as a sum of positive squares in 8 ways, for example, as 236359876 + 101974842225 = 15374^2 + 319335^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211202101 - 2¹ = 102211202099 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 (102211202131) 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, 9322915 + ... + 9333871.

It is an arithmetic number, because the mean of its divisors is an integer number (6835540131).

Almost surely, 2^102211202101 is an apocalyptic number.

It is an amenable number.

102211202101 is a deficient number, since it is larger than the sum of its proper divisors (7157439995).

102211202101 is a wasteful number, since it uses less digits than its factorization.

102211202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16728.

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

Adding to 102211202101 its reverse (101202112201), we get a palindrome (203413314302).

The spelling of 102211202101 in words is "one hundred two billion, two hundred eleven million, two hundred two thousand, one hundred one".