10010101202193 has 32 divisors (see below), whose sum is σ = 13497759055872. Its totient is φ = 6598111608000.

The previous prime is 10010101202173. The next prime is 10010101202197. The reversal of 10010101202193 is 39120210101001.

It is a happy number.

It is not a de Polignac number, because 10010101202193 - 2⁵ = 10010101202161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010101202197) 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 31 ways as a sum of consecutive naturals, for example, 1596249648 + ... + 1596255918.

It is an arithmetic number, because the mean of its divisors is an integer number (421804970496).

Almost surely, 2^{10010101202193} is an apocalyptic number.

It is an amenable number.

10010101202193 is a deficient number, since it is larger than the sum of its proper divisors (3487657853679).

10010101202193 is a wasteful number, since it uses less digits than its factorization.

10010101202193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12885.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 10010101202193 its reverse (39120210101001), we get a palindrome (49130311303194).

The spelling of 10010101202193 in words is "ten trillion, ten billion, one hundred one million, two hundred two thousand, one hundred ninety-three".