100220102000101 has 16 divisors (see below), whose sum is σ = 106406292612096. Its totient is φ = 94066241008896.

The previous prime is 100220102000071. The next prime is 100220102000113. The reversal of 100220102000101 is 101000201022001.

It is a cyclic number.

It is not a de Polignac number, because 100220102000101 - 2¹⁷ = 100220101869029 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 (100220102000131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594598500 + ... + 594767026.

It is an arithmetic number, because the mean of its divisors is an integer number (6650393288256).

Almost surely, 2^{100220102000101} is an apocalyptic number.

It is an amenable number.

100220102000101 is a deficient number, since it is larger than the sum of its proper divisors (6186190611995).

100220102000101 is a wasteful number, since it uses less digits than its factorization.

100220102000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264228.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100220102000101 its reverse (101000201022001), we get a palindrome (201220303022102).

The spelling of 100220102000101 in words is "one hundred trillion, two hundred twenty billion, one hundred two million, one hundred one", and thus it is an aban number.