100102100001111 has 24 divisors (see below), whose sum is σ = 155793061504080. Its totient is φ = 61570164681216.

The previous prime is 100102100001103. The next prime is 100102100001131. The reversal of 100102100001111 is 111100001201001.

It is not a de Polignac number, because 100102100001111 - 2³ = 100102100001103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100102100001093 and 100102100001102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102100001131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215931546 + ... + 216394631.

It is an arithmetic number, because the mean of its divisors is an integer number (6491377562670).

Almost surely, 2^{100102100001111} is an apocalyptic number.

100102100001111 is a deficient number, since it is larger than the sum of its proper divisors (55690961502969).

100102100001111 is a wasteful number, since it uses less digits than its factorization.

100102100001111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432328175 (or 432328172 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100102100001111 its reverse (111100001201001), we get a palindrome (211202101202112).

The spelling of 100102100001111 in words is "one hundred trillion, one hundred two billion, one hundred million, one thousand, one hundred eleven".