102102101212111 has 64 divisors (see below), whose sum is σ = 138496088134656. Its totient is φ = 72687070310400.

The previous prime is 102102101212091. The next prime is 102102101212201. The reversal of 102102101212111 is 111212101201201.

It is not a de Polignac number, because 102102101212111 - 2²³ = 102102092823503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102101212211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116631871 + ... + 117504031.

It is an arithmetic number, because the mean of its divisors is an integer number (2164001377104).

Almost surely, 2^{102102101212111} is an apocalyptic number.

102102101212111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102102101212111 is a deficient number, since it is larger than the sum of its proper divisors (36393986922545).

102102101212111 is a wasteful number, since it uses less digits than its factorization.

102102101212111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873392.

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

Adding to 102102101212111 its reverse (111212101201201), we get a palindrome (213314202413312).

The spelling of 102102101212111 in words is "one hundred two trillion, one hundred two billion, one hundred one million, two hundred twelve thousand, one hundred eleven".