100102211110021 has 8 divisors (see below), whose sum is σ = 105990676507800. Its totient is φ = 94213756827648.

The previous prime is 100102211109937. The next prime is 100102211110061. The reversal of 100102211110021 is 120011112201001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 29623919441796 + 70478291668225 = 5442786^2 + 8395135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100102211110021 - 2¹⁹ = 100102210585733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102211109983 and 100102211110010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102211110061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22154055 + ... + 26287003.

It is an arithmetic number, because the mean of its divisors is an integer number (13248834563475).

Almost surely, 2^{100102211110021} is an apocalyptic number.

It is an amenable number.

100102211110021 is a deficient number, since it is larger than the sum of its proper divisors (5888465397779).

100102211110021 is a wasteful number, since it uses less digits than its factorization.

100102211110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557703.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100102211110021 its reverse (120011112201001), we get a palindrome (220113323311022).

The spelling of 100102211110021 in words is "one hundred trillion, one hundred two billion, two hundred eleven million, one hundred ten thousand, twenty-one".