102001112001 has 32 divisors (see below), whose sum is σ = 159090624000. Its totient is φ = 64411807824.

The previous prime is 102001111973. The next prime is 102001112009. The reversal of 102001112001 is 100211100201.

It is a happy number.

It is not a de Polignac number, because 102001112001 - 2⁶ = 102001111937 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (102001112009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4751470 + ... + 4772888.

It is an arithmetic number, because the mean of its divisors is an integer number (4971582000).

Almost surely, 2^102001112001 is an apocalyptic number.

It is an amenable number.

102001112001 is a deficient number, since it is larger than the sum of its proper divisors (57089511999).

102001112001 is a wasteful number, since it uses less digits than its factorization.

102001112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30730 (or 30724 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102001112001 its reverse (100211100201), we get a palindrome (202212212202).

The spelling of 102001112001 in words is "one hundred two billion, one million, one hundred twelve thousand, one".