10201100010211 has 32 divisors (see below), whose sum is σ = 12070723306752. Its totient is φ = 8517586344960.

The previous prime is 10201100010169. The next prime is 10201100010229. The reversal of 10201100010211 is 11201000110201.

It is not a de Polignac number, because 10201100010211 - 2²⁷ = 10200965792483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201100010511) 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, 2464066 + ... + 5145271.

It is an arithmetic number, because the mean of its divisors is an integer number (377210103336).

Almost surely, 2^{10201100010211} is an apocalyptic number.

10201100010211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10201100010211 is a deficient number, since it is larger than the sum of its proper divisors (1869623296541).

10201100010211 is a wasteful number, since it uses less digits than its factorization.

10201100010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609539.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10201100010211 its reverse (11201000110201), we get a palindrome (21402100120412).

The spelling of 10201100010211 in words is "ten trillion, two hundred one billion, one hundred million, ten thousand, two hundred eleven".