10201101021 has 12 divisors (see below), whose sum is σ = 15133165372. Its totient is φ = 6616930176.

The previous prime is 10201101011. The next prime is 10201101023. The reversal of 10201101021 is 12010110201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3686189796 + 6514911225 = 60714^2 + 80715^2 .

It is not a de Polignac number, because 10201101021 - 2¹⁷ = 10200969949 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201100994 and 10201101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201101023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15316636 + ... + 15317301.

Almost surely, 2^10201101021 is an apocalyptic number.

It is an amenable number.

10201101021 is a deficient number, since it is larger than the sum of its proper divisors (4932064351).

10201101021 is a wasteful number, since it uses less digits than its factorization.

10201101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30633980 (or 30633977 counting only the distinct ones).

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

Adding to 10201101021 its reverse (12010110201), we get a palindrome (22211211222).

The spelling of 10201101021 in words is "ten billion, two hundred one million, one hundred one thousand, twenty-one".