102210101303211 has 48 divisors (see below), whose sum is σ = 161386030061568. Its totient is φ = 61819610054400.

The previous prime is 102210101303143. The next prime is 102210101303237. The reversal of 102210101303211 is 112303101012201.

102210101303211 is a `hidden beast` number, since 1 + 0 + 2 + 210 + 1 + 0 + 130 + 321 + 1 = 666.

It is not a de Polignac number, because 102210101303211 - 2¹⁴ = 102210101286827 is a prime.

It is a super-3 number, since 3×102210101303211³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102210111303211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95319330 + ... + 96385656.

It is an arithmetic number, because the mean of its divisors is an integer number (3362208959616).

Almost surely, 2^{102210101303211} is an apocalyptic number.

102210101303211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102210101303211 is a deficient number, since it is larger than the sum of its proper divisors (59175928758357).

102210101303211 is a wasteful number, since it uses less digits than its factorization.

102210101303211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068312 (or 1068309 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102210101303211 its reverse (112303101012201), we get a palindrome (214513202315412).

The spelling of 102210101303211 in words is "one hundred two trillion, two hundred ten billion, one hundred one million, three hundred three thousand, two hundred eleven".