10201002021 has 48 divisors (see below), whose sum is σ = 17586776064. Its totient is φ = 5570988192.

The previous prime is 10201001999. The next prime is 10201002023. The reversal of 10201002021 is 12020010201.

It is not a de Polignac number, because 10201002021 - 2¹⁷ = 10200870949 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10201001994 and 10201002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201002023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2355360 + ... + 2359686.

It is an arithmetic number, because the mean of its divisors is an integer number (366391168).

Almost surely, 2^10201002021 is an apocalyptic number.

It is an amenable number.

10201002021 is a deficient number, since it is larger than the sum of its proper divisors (7385774043).

10201002021 is a wasteful number, since it uses less digits than its factorization.

10201002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5987 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10201002021 its reverse (12020010201), we get a palindrome (22221012222).

It can be divided in two parts, 1020100 and 2021, that added together give a square (1022121 = 1011²).

The spelling of 10201002021 in words is "ten billion, two hundred one million, two thousand, twenty-one".