2101021101 has 6 divisors (see below), whose sum is σ = 3034808270. Its totient is φ = 1400680728.

The previous prime is 2101021073. The next prime is 2101021127. The reversal of 2101021101 is 1011201012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1955939076 + 145082025 = 44226^2 + 12045^2 .

It is not a de Polignac number, because 2101021101 - 2¹⁹ = 2100496813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 233446789 = 2101021101 / (2 + 1 + 0 + 1 + 0 + 2 + 1 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101021171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116723386 + ... + 116723403.

Almost surely, 2^2101021101 is an apocalyptic number.

It is an amenable number.

2101021101 is a deficient number, since it is larger than the sum of its proper divisors (933787169).

2101021101 is a wasteful number, since it uses less digits than its factorization.

2101021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233446795 (or 233446792 counting only the distinct ones).

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

The square root of 2101021101 is about 45836.8967208732. The cubic root of 2101021101 is about 1280.7866870173.

Adding to 2101021101 its reverse (1011201012), we get a palindrome (3112222113).

The spelling of 2101021101 in words is "two billion, one hundred one million, twenty-one thousand, one hundred one".