102001112101 has 24 divisors (see below), whose sum is σ = 120773431296. Its totient is φ = 85881751200.

The previous prime is 102001112099. The next prime is 102001112107. The reversal of 102001112101 is 101211100201.

It is not a de Polignac number, because 102001112101 - 2¹ = 102001112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001112107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547380 + ... + 709666.

It is an arithmetic number, because the mean of its divisors is an integer number (5032226304).

Almost surely, 2^102001112101 is an apocalyptic number.

It is an amenable number.

102001112101 is a deficient number, since it is larger than the sum of its proper divisors (18772319195).

102001112101 is a wasteful number, since it uses less digits than its factorization.

102001112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162529 (or 162522 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102001112101 its reverse (101211100201), we get a palindrome (203212212302).

The spelling of 102001112101 in words is "one hundred two billion, one million, one hundred twelve thousand, one hundred one".