11211101202101 has 4 divisors (see below), whose sum is σ = 11322102204204. Its totient is φ = 11100100200000.

The previous prime is 11211101202073. The next prime is 11211101202113. The reversal of 11211101202101 is 10120210111211.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 8941589082001 + 2269512120100 = 2990249^2 + 1506490^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211101202101 - 2⁴² = 6813054690997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211101232101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55500500900 + ... + 55500501101.

It is an arithmetic number, because the mean of its divisors is an integer number (2830525551051).

Almost surely, 2^{11211101202101} is an apocalyptic number.

It is an amenable number.

11211101202101 is a deficient number, since it is larger than the sum of its proper divisors (111001002103).

11211101202101 is a wasteful number, since it uses less digits than its factorization.

11211101202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111001002102.

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

Adding to 11211101202101 its reverse (10120210111211), we get a palindrome (21331311313312).

It can be divided in two parts, 11211 and 101202101, that multiplied together give a palindrome (1134576754311).

The spelling of 11211101202101 in words is "eleven trillion, two hundred eleven billion, one hundred one million, two hundred two thousand, one hundred one".