100110020101 has 16 divisors (see below), whose sum is σ = 123465389824. Its totient is φ = 79045248384.

The previous prime is 100110020089. The next prime is 100110020149. The reversal of 100110020101 is 101020011001.

It is a cyclic number.

It is not a de Polignac number, because 100110020101 - 2²³ = 100101631493 is a prime.

It is a super-2 number, since 2×100110020101² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110020161) 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, 1085160 + ... + 1173793.

It is an arithmetic number, because the mean of its divisors is an integer number (7716586864).

Almost surely, 2^100110020101 is an apocalyptic number.

It is an amenable number.

100110020101 is a deficient number, since it is larger than the sum of its proper divisors (23355369723).

100110020101 is a wasteful number, since it uses less digits than its factorization.

100110020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259460.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100110020101 its reverse (101020011001), we get a palindrome (201130031102).

It can be divided in two parts, 1001100 and 20101, that added together give a palindrome (1021201).

The spelling of 100110020101 in words is "one hundred billion, one hundred ten million, twenty thousand, one hundred one".