102111000100101 has 48 divisors (see below), whose sum is σ = 161557222282560. Its totient is φ = 61859470901760.

The previous prime is 102111000100099. The next prime is 102111000100103. The reversal of 102111000100101 is 101001000111201.

It is an interprime number because it is at equal distance from previous prime (102111000100099) and next prime (102111000100103).

It is not a de Polignac number, because 102111000100101 - 2¹ = 102111000100099 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111000100103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456060486 + ... + 456284328.

It is an arithmetic number, because the mean of its divisors is an integer number (3365775464220).

Almost surely, 2^{102111000100101} is an apocalyptic number.

It is an amenable number.

102111000100101 is a deficient number, since it is larger than the sum of its proper divisors (59446222182459).

102111000100101 is a wasteful number, since it uses less digits than its factorization.

102111000100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326706 (or 326703 counting only the distinct ones).

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

Adding to 102111000100101 its reverse (101001000111201), we get a palindrome (203112000211302).

The spelling of 102111000100101 in words is "one hundred two trillion, one hundred eleven billion, one hundred thousand, one hundred one".