102100120211111 has 16 divisors (see below), whose sum is σ = 117934167310848. Its totient is φ = 87358140796800.

The previous prime is 102100120211099. The next prime is 102100120211153. The reversal of 102100120211111 is 111112021001201.

It is a cyclic number.

It is not a de Polignac number, because 102100120211111 - 2²² = 102100116016807 is a prime.

It is a super-2 number, since 2×102100120211111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100120211171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97144226 + ... + 98189616.

It is an arithmetic number, because the mean of its divisors is an integer number (7370885456928).

Almost surely, 2^{102100120211111} is an apocalyptic number.

102100120211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102100120211111 is a deficient number, since it is larger than the sum of its proper divisors (15834047099737).

102100120211111 is a wasteful number, since it uses less digits than its factorization.

102100120211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567702.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102100120211111 its reverse (111112021001201), we get a palindrome (213212141212312).

The spelling of 102100120211111 in words is "one hundred two trillion, one hundred billion, one hundred twenty million, two hundred eleven thousand, one hundred eleven".