100101202101 has 6 divisors (see below), whose sum is σ = 144590625270. Its totient is φ = 66734134728.

The previous prime is 100101202063. The next prime is 100101202127. The reversal of 100101202101 is 101202101001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 61045561476 + 39055640625 = 247074^2 + 197625^2 .

It is not a de Polignac number, because 100101202101 - 2⁷ = 100101201973 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: 11122355789 = 100101202101 / (1 + 0 + 0 + 1 + 0 + 1 + 2 + 0 + 2 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101202141) 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, 5561177886 + ... + 5561177903.

It is an arithmetic number, because the mean of its divisors is an integer number (24098437545).

Almost surely, 2^100101202101 is an apocalyptic number.

It is an amenable number.

100101202101 is a deficient number, since it is larger than the sum of its proper divisors (44489423169).

100101202101 is a wasteful number, since it uses less digits than its factorization.

100101202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122355795 (or 11122355792 counting only the distinct ones).

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

Adding to 100101202101 its reverse (101202101001), we get a palindrome (201303303102).

The spelling of 100101202101 in words is "one hundred billion, one hundred one million, two hundred two thousand, one hundred one".