100013020101 has 24 divisors (see below), whose sum is σ = 145216110936. Its totient is φ = 66328657920.

The previous prime is 100013020061. The next prime is 100013020123. The reversal of 100013020101 is 101020310001.

It can be written as a sum of positive squares in 4 ways, for example, as 125417601 + 99887602500 = 11199^2 + 316050^2 .

It is not a de Polignac number, because 100013020101 - 2¹³ = 100013011909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013020001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1518021 + ... + 1582533.

It is an arithmetic number, because the mean of its divisors is an integer number (6050671289).

Almost surely, 2^100013020101 is an apocalyptic number.

It is an amenable number.

100013020101 is a deficient number, since it is larger than the sum of its proper divisors (45203090835).

100013020101 is a wasteful number, since it uses less digits than its factorization.

100013020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65413 (or 65410 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100013020101 its reverse (101020310001), we get a palindrome (201033330102).

The spelling of 100013020101 in words is "one hundred billion, thirteen million, twenty thousand, one hundred one".