10111212212101 has 64 divisors (see below), whose sum is σ = 13713139109376. Its totient is φ = 7199305344000.

The previous prime is 10111212212083. The next prime is 10111212212113. The reversal of 10111212212101 is 10121221211101.

It is not a de Polignac number, because 10111212212101 - 2¹⁹ = 10111211687813 is a prime.

It is a super-2 number, since 2×10111212212101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111212212191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 784234011 + ... + 784246903.

It is an arithmetic number, because the mean of its divisors is an integer number (214267798584).

Almost surely, 2^{10111212212101} is an apocalyptic number.

10111212212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111212212101 is a deficient number, since it is larger than the sum of its proper divisors (3601926897275).

10111212212101 is a wasteful number, since it uses less digits than its factorization.

10111212212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20782.

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

Adding to 10111212212101 its reverse (10121221211101), we get a palindrome (20232433423202).

It can be divided in two parts, 10111 and 212212101, that added together give a palindrome (212222212).

The spelling of 10111212212101 in words is "ten trillion, one hundred eleven billion, two hundred twelve million, two hundred twelve thousand, one hundred one".