100101211112021 has 6 divisors (see below), whose sum is σ = 116444265987510. Its totient is φ = 85801038095976.

The previous prime is 100101211111987. The next prime is 100101211112083. The reversal of 100101211112021 is 120211112101001.

It can be written as a sum of positive squares in only one way, i.e., 83691136737796 + 16410074374225 = 9148286^2 + 4050935^2 .

It is not a de Polignac number, because 100101211112021 - 2³⁰ = 100100137370197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101211111987 and 100101211112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101211117021) 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, 1021440929666 + ... + 1021440929763.

It is an arithmetic number, because the mean of its divisors is an integer number (19407377664585).

Almost surely, 2^{100101211112021} is an apocalyptic number.

It is an amenable number.

100101211112021 is a deficient number, since it is larger than the sum of its proper divisors (16343054875489).

100101211112021 is an equidigital number, since it uses as much as digits as its factorization.

100101211112021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042881859443 (or 2042881859436 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100101211112021 its reverse (120211112101001), we get a palindrome (220312323213022).

The spelling of 100101211112021 in words is "one hundred trillion, one hundred one billion, two hundred eleven million, one hundred twelve thousand, twenty-one".