211100102102112 has 24 divisors (see below), whose sum is σ = 554137768018296. Its totient is φ = 70366700700672.

The previous prime is 211100102102083. The next prime is 211100102102117. The reversal of 211100102102112 is 211201201001112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×211100102102112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211100102102091 and 211100102102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100102102117) 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, 1099479698353 + ... + 1099479698544.

It is an arithmetic number, because the mean of its divisors is an integer number (23089073667429).

Almost surely, 2^{211100102102112} is an apocalyptic number.

It is an amenable number.

211100102102112 is an abundant number, since it is smaller than the sum of its proper divisors (343037665916184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211100102102112 is a wasteful number, since it uses less digits than its factorization.

211100102102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198959396910 (or 2198959396902 counting only the distinct ones).

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

Adding to 211100102102112 its reverse (211201201001112), we get a palindrome (422301303103224).

The spelling of 211100102102112 in words is "two hundred eleven trillion, one hundred billion, one hundred two million, one hundred two thousand, one hundred twelve".