100102002001101 has 6 divisors (see below), whose sum is σ = 144591780668270. Its totient is φ = 66734668000728.

The previous prime is 100102002001093. The next prime is 100102002001139. The reversal of 100102002001101 is 101100200201001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100021701177225 + 80300823876 = 10001085^2 + 283374^2 .

It is not a de Polignac number, because 100102002001101 - 2³ = 100102002001093 is a prime.

It is a super-3 number, since 3×100102002001101³ (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), and also a Moran number because the ratio is a prime number: 11122444666789 = 100102002001101 / (1 + 0 + 0 + 1 + 0 + 2 + 0 + 0 + 2 + 0 + 0 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102002001151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561222333386 + ... + 5561222333403.

Almost surely, 2^{100102002001101} is an apocalyptic number.

It is an amenable number.

100102002001101 is a deficient number, since it is larger than the sum of its proper divisors (44489778667169).

100102002001101 is a wasteful number, since it uses less digits than its factorization.

100102002001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122444666795 (or 11122444666792 counting only the distinct ones).

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

Adding to 100102002001101 its reverse (101100200201001), we get a palindrome (201202202202102).

The spelling of 100102002001101 in words is "one hundred trillion, one hundred two billion, two million, one thousand, one hundred one".