10201010211201 has 24 divisors (see below), whose sum is σ = 13742720016480. Its totient is φ = 6730706579200.

The previous prime is 10201010211193. The next prime is 10201010211209. The reversal of 10201010211201 is 10211201010201.

It is an interprime number because it is at equal distance from previous prime (10201010211193) and next prime (10201010211209).

It is not a de Polignac number, because 10201010211201 - 2³ = 10201010211193 is a prime.

It is a super-3 number, since 3×10201010211201³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10201010211209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79779346 + ... + 79907108.

It is an arithmetic number, because the mean of its divisors is an integer number (572613334020).

Almost surely, 2^{10201010211201} is an apocalyptic number.

It is an amenable number.

10201010211201 is a deficient number, since it is larger than the sum of its proper divisors (3541709805279).

10201010211201 is a wasteful number, since it uses less digits than its factorization.

10201010211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130577 (or 130476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201010211201 its reverse (10211201010201), we get a palindrome (20412211221402).

The spelling of 10201010211201 in words is "ten trillion, two hundred one billion, ten million, two hundred eleven thousand, two hundred one".