100130021101 has 16 divisors (see below), whose sum is σ = 110143365120. Its totient is φ = 90269106480.

The previous prime is 100130021087. The next prime is 100130021129. The reversal of 100130021101 is 101120031001.

It is a cyclic number.

It is not a de Polignac number, because 100130021101 - 2⁷ = 100130020973 is a prime.

It is a super-2 number, since 2×100130021101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130024101) 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, 3263490 + ... + 3294028.

It is an arithmetic number, because the mean of its divisors is an integer number (6883960320).

Almost surely, 2^100130021101 is an apocalyptic number.

100130021101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100130021101 is a deficient number, since it is larger than the sum of its proper divisors (10013344019).

100130021101 is a wasteful number, since it uses less digits than its factorization.

100130021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33024.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100130021101 its reverse (101120031001), we get a palindrome (201250052102).

The spelling of 100130021101 in words is "one hundred billion, one hundred thirty million, twenty-one thousand, one hundred one".