201010102202091 has 64 divisors (see below), whose sum is σ = 330280940602368. Its totient is φ = 105892966061568.

The previous prime is 201010102202081. The next prime is 201010102202113. The reversal of 201010102202091 is 190202201010102.

It is not a de Polignac number, because 201010102202091 - 2³⁴ = 200992922332907 is a prime.

It is a super-2 number, since 2×201010102202091² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (201010102202071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699662125 + ... + 699949361.

It is an arithmetic number, because the mean of its divisors is an integer number (5160639696912).

Almost surely, 2^{201010102202091} is an apocalyptic number.

201010102202091 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201010102202091 is a deficient number, since it is larger than the sum of its proper divisors (129270838400277).

201010102202091 is a wasteful number, since it uses less digits than its factorization.

201010102202091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290500.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 201010102202091 its reverse (190202201010102), we get a palindrome (391212303212193).

The spelling of 201010102202091 in words is "two hundred one trillion, ten billion, one hundred two million, two hundred two thousand, ninety-one".