100021201101 has 24 divisors (see below), whose sum is σ = 146011169304. Its totient is φ = 65975575680.

The previous prime is 100021201051. The next prime is 100021201123. The reversal of 100021201101 is 101102120001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35936784900 + 64084416201 = 189570^2 + 253149^2 .

It is not a de Polignac number, because 100021201101 - 2¹¹ = 100021199053 is a prime.

It is a super-2 number, since 2×100021201101² (a number of 23 digits) contains 22 as substring.

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 (100021201001) 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, 165075 + ... + 476751.

It is an arithmetic number, because the mean of its divisors is an integer number (6083798721).

Almost surely, 2^100021201101 is an apocalyptic number.

It is an amenable number.

100021201101 is a deficient number, since it is larger than the sum of its proper divisors (45989968203).

100021201101 is a wasteful number, since it uses less digits than its factorization.

100021201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312061 (or 312058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100021201101 its reverse (101102120001), we get a palindrome (201123321102).

The spelling of 100021201101 in words is "one hundred billion, twenty-one million, two hundred one thousand, one hundred one".