100010121101 has 16 divisors (see below), whose sum is σ = 111203238528. Its totient is φ = 89168539200.

The previous prime is 100010121089. The next prime is 100010121161. The reversal of 100010121101 is 101121010001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100010121101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010121161) 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, 1548875 + ... + 1612151.

It is an arithmetic number, because the mean of its divisors is an integer number (6950202408).

Almost surely, 2^100010121101 is an apocalyptic number.

100010121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010121101 is a deficient number, since it is larger than the sum of its proper divisors (11193117427).

100010121101 is a wasteful number, since it uses less digits than its factorization.

100010121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66052.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100010121101 its reverse (101121010001), we get a palindrome (201131131102).

Subtracting 100010121101 from its reverse (101121010001), we obtain a square (1110888900 = 33330²).

It can be divided in two parts, 1000 and 10121101, that added together give a palindrome (10122101).

The spelling of 100010121101 in words is "one hundred billion, ten million, one hundred twenty-one thousand, one hundred one".