1022100201 has 40 divisors (see below), whose sum is σ = 1559665800. Its totient is φ = 666869760.

The previous prime is 1022100199. The next prime is 1022100253. The reversal of 1022100201 is 1020012201.

1022100201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51840000 + 970260201 = 7200^2 + 31149^2 .

It is not a de Polignac number, because 1022100201 - 2¹ = 1022100199 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1022100901) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1328745 + ... + 1329513.

It is an arithmetic number, because the mean of its divisors is an integer number (38991645).

Almost surely, 2^1022100201 is an apocalyptic number.

It is an amenable number.

1022100201 is a deficient number, since it is larger than the sum of its proper divisors (537565599).

1022100201 is an equidigital number, since it uses as much as digits as its factorization.

1022100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1102 counting only the distinct ones).

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

The square root of 1022100201 is about 31970.3018596947. The cubic root of 1022100201 is about 1007.3131215471.

Adding to 1022100201 its reverse (1020012201), we get a palindrome (2042112402).

The spelling of 1022100201 in words is "one billion, twenty-two million, one hundred thousand, two hundred one".