10111211102201 has 32 divisors (see below), whose sum is σ = 11986114129920. Its totient is φ = 8426883038400.

The previous prime is 10111211102189. The next prime is 10111211102221. The reversal of 10111211102201 is 10220111211101.

It is a cyclic number.

It is not a de Polignac number, because 10111211102201 - 2¹⁸ = 10111210840057 is a prime.

It is a super-2 number, since 2×10111211102201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111211102221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251021675 + ... + 251061951.

It is an arithmetic number, because the mean of its divisors is an integer number (374566066560).

Almost surely, 2^{10111211102201} is an apocalyptic number.

10111211102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111211102201 is a deficient number, since it is larger than the sum of its proper divisors (1874903027719).

10111211102201 is a wasteful number, since it uses less digits than its factorization.

10111211102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79085.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10111211102201 its reverse (10220111211101), we get a palindrome (20331322313302).

The spelling of 10111211102201 in words is "ten trillion, one hundred eleven billion, two hundred eleven million, one hundred two thousand, two hundred one".