11021101102101 has 32 divisors (see below), whose sum is σ = 15421666295808. Its totient is φ = 6987670018560.

The previous prime is 11021101102031. The next prime is 11021101102111. The reversal of 11021101102101 is 10120110112011.

It is not a de Polignac number, because 11021101102101 - 2¹⁷ = 11021100971029 is a prime.

It is a super-2 number, since 2×11021101102101² (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 (11021101102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26374740 + ... + 26789346.

It is an arithmetic number, because the mean of its divisors is an integer number (481927071744).

Almost surely, 2^{11021101102101} is an apocalyptic number.

It is an amenable number.

11021101102101 is a deficient number, since it is larger than the sum of its proper divisors (4400565193707).

11021101102101 is a wasteful number, since it uses less digits than its factorization.

11021101102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416841.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11021101102101 its reverse (10120110112011), we get a palindrome (21141211214112).

The spelling of 11021101102101 in words is "eleven trillion, twenty-one billion, one hundred one million, one hundred two thousand, one hundred one".