102201212101122 has 12 divisors (see below), whose sum is σ = 221435959552470. Its totient is φ = 34067070700368.

The previous prime is 102201212101097. The next prime is 102201212101129. The reversal of 102201212101122 is 221101212102201.

102201212101122 is a `hidden beast` number, since 1 + 0 + 220 + 121 + 210 + 112 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78589980279801 + 23611231821321 = 8865099^2 + 4859139^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5677845116729 = 102201212101122 / (1 + 0 + 2 + 2 + 0 + 1 + 2 + 1 + 2 + 1 + 0 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 102201212101095 and 102201212101104.

It is not an unprimeable number, because it can be changed into a prime (102201212101129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2838922558347 + ... + 2838922558382.

Almost surely, 2^{102201212101122} is an apocalyptic number.

102201212101122 is an abundant number, since it is smaller than the sum of its proper divisors (119234747451348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102201212101122 is a wasteful number, since it uses less digits than its factorization.

102201212101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677845116737 (or 5677845116734 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102201212101122 its reverse (221101212102201), we get a palindrome (323302424203323).

The spelling of 102201212101122 in words is "one hundred two trillion, two hundred one billion, two hundred twelve million, one hundred one thousand, one hundred twenty-two".