211201000102112 has 24 divisors (see below), whose sum is σ = 419918820135192. Its totient is φ = 104554950544000.

The previous prime is 211201000102087. The next prime is 211201000102121.

211201000102112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32673418814 + ... + 32673425277.

It is an arithmetic number, because the mean of its divisors is an integer number (17496617505633).

Almost surely, 2^{211201000102112} is an apocalyptic number.

It is an amenable number.

211201000102112 is a deficient number, since it is larger than the sum of its proper divisors (208717820033080).

211201000102112 is a wasteful number, since it uses less digits than its factorization.

211201000102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65346844202 (or 65346844194 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 211201000 and 102112, that added together give a palindrome (211303112).

The spelling of 211201000102112 in words is "two hundred eleven trillion, two hundred one billion, one hundred two thousand, one hundred twelve".