211101120002136 has 256 divisors, whose sum is σ = 670646603612160. Its totient is φ = 53866859604480.

The previous prime is 211101120002053. The next prime is 211101120002137. The reversal of 211101120002136 is 631200021101112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211101120002137) 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, 300729115 + ... + 301430261.

It is an arithmetic number, because the mean of its divisors is an integer number (2619713295360).

Almost surely, 2^{211101120002136} is an apocalyptic number.

211101120002136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211101120002136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335323301806080).

211101120002136 is an abundant number, since it is smaller than the sum of its proper divisors (459545483610024).

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

211101120002136 is a wasteful number, since it uses less digits than its factorization.

211101120002136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705654 (or 705650 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 211101120002136 its reverse (631200021101112), we get a palindrome (842301141103248).

The spelling of 211101120002136 in words is "two hundred eleven trillion, one hundred one billion, one hundred twenty million, two thousand, one hundred thirty-six".