11011222102101 has 32 divisors (see below), whose sum is σ = 16700575997952. Its totient is φ = 6405050393280.

The previous prime is 11011222102007. The next prime is 11011222102103. The reversal of 11011222102101 is 10120122211011.

It is a happy number.

It is not a de Polignac number, because 11011222102101 - 2⁹ = 11011222101589 is a prime.

It is a super-3 number, since 3×11011222102101³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011222102103) 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, 105851625 + ... + 105955598.

It is an arithmetic number, because the mean of its divisors is an integer number (521892999936).

Almost surely, 2^{11011222102101} is an apocalyptic number.

It is an amenable number.

11011222102101 is a deficient number, since it is larger than the sum of its proper divisors (5689353895851).

11011222102101 is a wasteful number, since it uses less digits than its factorization.

11011222102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211807313.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11011222102101 its reverse (10120122211011), we get a palindrome (21131344313112).

The spelling of 11011222102101 in words is "eleven trillion, eleven billion, two hundred twenty-two million, one hundred two thousand, one hundred one".