100102000102011 has 6 divisors (see below), whose sum is σ = 144591777925140. Its totient is φ = 66734666734668.

The previous prime is 100102000102003. The next prime is 100102000102031. The reversal of 100102000102011 is 110201000201001.

It is a happy number.

It is not a de Polignac number, because 100102000102011 - 2³ = 100102000102003 is a prime.

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: 11122444455779 = 100102000102011 / (1 + 0 + 0 + 1 + 0 + 2 + 0 + 0 + 0 + 1 + 0 + 2 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 100102000101984 and 100102000102002.

It is not an unprimeable number, because it can be changed into a prime (100102000102031) 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, 5561222227881 + ... + 5561222227898.

It is an arithmetic number, because the mean of its divisors is an integer number (24098629654190).

Almost surely, 2^{100102000102011} is an apocalyptic number.

100102000102011 is a deficient number, since it is larger than the sum of its proper divisors (44489777823129).

100102000102011 is a wasteful number, since it uses less digits than its factorization.

100102000102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122444455785 (or 11122444455782 counting only the distinct ones).

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

Adding to 100102000102011 its reverse (110201000201001), we get a palindrome (210303000303012).

The spelling of 100102000102011 in words is "one hundred trillion, one hundred two billion, one hundred two thousand, eleven".