102000112010001 has 18 divisors (see below), whose sum is σ = 152239501219650. Its totient is φ = 65806523871840.

The previous prime is 102000112009993. The next prime is 102000112010039. The reversal of 102000112010001 is 100010211000201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 65156134644225 + 36843977365776 = 8071935^2 + 6069924^2 .

It is not a de Polignac number, because 102000112010001 - 2³ = 102000112009993 is a prime.

It is a super-3 number, since 3×102000112010001³ (a number of 43 digits) contains 333 as substring.

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 (102000112014001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5896633276 + ... + 5896650573.

Almost surely, 2^{102000112010001} is an apocalyptic number.

It is an amenable number.

102000112010001 is a deficient number, since it is larger than the sum of its proper divisors (50239389209649).

102000112010001 is a wasteful number, since it uses less digits than its factorization.

102000112010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11793283917 (or 11793283883 counting only the distinct ones).

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

Adding to 102000112010001 its reverse (100010211000201), we get a palindrome (202010323010202).

The spelling of 102000112010001 in words is "one hundred two trillion, one hundred twelve million, ten thousand, one".