100021121202101 has 12 divisors (see below), whose sum is σ = 109940872120716. Its totient is φ = 90928043152320.

The previous prime is 100021121202071. The next prime is 100021121202137. The reversal of 100021121202101 is 101202121120001.

It can be written as a sum of positive squares in 2 ways, for example, as 75685389070225 + 24335732131876 = 8699735^2 + 4933126^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100021121202101 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 (100021121205101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54539801 + ... + 56343873.

It is an arithmetic number, because the mean of its divisors is an integer number (9161739343393).

Almost surely, 2^{100021121202101} is an apocalyptic number.

100021121202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100021121202101 is a deficient number, since it is larger than the sum of its proper divisors (9919750918615).

100021121202101 is a wasteful number, since it uses less digits than its factorization.

100021121202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262292 (or 2262281 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100021121202101 its reverse (101202121120001), we get a palindrome (201223242322102).

The spelling of 100021121202101 in words is "one hundred trillion, twenty-one billion, one hundred twenty-one million, two hundred two thousand, one hundred one".