102120111111111 has 32 divisors (see below), whose sum is σ = 143302901511168. Its totient is φ = 64609442651520.

The previous prime is 102120111111097. The next prime is 102120111111149. The reversal of 102120111111111 is 111111111021201.

It is a happy number.

It is not a de Polignac number, because 102120111111111 - 2¹⁵ = 102120111078343 is a prime.

102120111111111 is a modest number, since divided by 11111111 gives 1021201 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120111111611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31874985 + ... + 34932146.

It is an arithmetic number, because the mean of its divisors is an integer number (4478215672224).

Almost surely, 2^{102120111111111} is an apocalyptic number.

102120111111111 is a deficient number, since it is larger than the sum of its proper divisors (41182790400057).

102120111111111 is a wasteful number, since it uses less digits than its factorization.

102120111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66807511.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 102120111111111 its reverse (111111111021201), we get a palindrome (213231222132312).

It can be divided in two parts, 1021201 and 11111111, that multiplied together give a palindrome (11346677664311).

The spelling of 102120111111111 in words is "one hundred two trillion, one hundred twenty billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".