102202120220211 has 96 divisors (see below), whose sum is σ = 170113949591040. Its totient is φ = 58521541478400.

The previous prime is 102202120220201. The next prime is 102202120220227. The reversal of 102202120220211 is 112022021202201.

It is a happy number.

102202120220211 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 212 + 0 + 220 + 211 = 666.

It is not a de Polignac number, because 102202120220211 - 2¹⁰ = 102202120219187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102202120220201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111967776 + ... + 112876866.

It is an arithmetic number, because the mean of its divisors is an integer number (1772020308240).

Almost surely, 2^{102202120220211} is an apocalyptic number.

102202120220211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102202120220211 is a deficient number, since it is larger than the sum of its proper divisors (67911829370829).

102202120220211 is a wasteful number, since it uses less digits than its factorization.

102202120220211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909737 (or 909734 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202120220211 its reverse (112022021202201), we get a palindrome (214224141422412).

The spelling of 102202120220211 in words is "one hundred two trillion, two hundred two billion, one hundred twenty million, two hundred twenty thousand, two hundred eleven".