102101212211211 has 384 divisors, whose sum is σ = 172496778854400. Its totient is φ = 60050235893760.

The previous prime is 102101212211209. The next prime is 102101212211239. The reversal of 102101212211211 is 112112212101201.

It is a happy number.

102101212211211 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 21 + 221 + 1 + 211 = 666.

It is not a de Polignac number, because 102101212211211 - 2¹ = 102101212211209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102101212211281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 332577238320 + ... + 332577238626.

It is an arithmetic number, because the mean of its divisors is an integer number (449210361600).

Almost surely, 2^{102101212211211} is an apocalyptic number.

102101212211211 is a deficient number, since it is larger than the sum of its proper divisors (70395566643189).

102101212211211 is a wasteful number, since it uses less digits than its factorization.

102101212211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102101212211211 its reverse (112112212101201), we get a palindrome (214213424312412).

The spelling of 102101212211211 in words is "one hundred two trillion, one hundred one billion, two hundred twelve million, two hundred eleven thousand, two hundred eleven".