100021012220101 has 6 divisors (see below), whose sum is σ = 116350973398950. Its totient is φ = 85732296188616.

The previous prime is 100021012220081. The next prime is 100021012220113. The reversal of 100021012220101 is 101022210120001.

It can be written as a sum of positive squares in only one way, i.e., 85736951330625 + 14284060889476 = 9259425^2 + 3779426^2 .

It is not a de Polignac number, because 100021012220101 - 2¹⁷ = 100021012089029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021012220191) 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, 1020622573626 + ... + 1020622573723.

It is an arithmetic number, because the mean of its divisors is an integer number (19391828899825).

Almost surely, 2^{100021012220101} is an apocalyptic number.

It is an amenable number.

100021012220101 is a deficient number, since it is larger than the sum of its proper divisors (16329961178849).

100021012220101 is an equidigital number, since it uses as much as digits as its factorization.

100021012220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041245147363 (or 2041245147356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100021012220101 its reverse (101022210120001), we get a palindrome (201043222340102).

The spelling of 100021012220101 in words is "one hundred trillion, twenty-one billion, twelve million, two hundred twenty thousand, one hundred one".