10211022011201 has 16 divisors (see below), whose sum is σ = 11172274541568. Its totient is φ = 9255301611600.

The previous prime is 10211022011191. The next prime is 10211022011209.

10211022011201 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-10211022011201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211022011209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4809530 + ... + 6599516.

It is an arithmetic number, because the mean of its divisors is an integer number (698267158848).

Almost surely, 2^{10211022011201} is an apocalyptic number.

10211022011201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211022011201 is a deficient number, since it is larger than the sum of its proper divisors (961252530367).

10211022011201 is a wasteful number, since it uses less digits than its factorization.

10211022011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791532.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 1021102 and 2011201, that added together give a palindrome (3032303).

The spelling of 10211022011201 in words is "ten trillion, two hundred eleven billion, twenty-two million, eleven thousand, two hundred one".