211023102101300 has 144 divisors (see below), whose sum is σ = 469604860865280. Its totient is φ = 82259958144000.

The previous prime is 211023102101257. The next prime is 211023102101369. The reversal of 211023102101300 is 3101201320112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15667310966 + ... + 15667324434.

It is an arithmetic number, because the mean of its divisors is an integer number (3261144867120).

Almost surely, 2^{211023102101300} is an apocalyptic number.

211023102101300 is a gapful number since it is divisible by the number (20) 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 211023102101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234802430432640).

211023102101300 is an abundant number, since it is smaller than the sum of its proper divisors (258581758763980).

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

211023102101300 is a wasteful number, since it uses less digits than its factorization.

211023102101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17442 (or 17435 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211023102101300 its reverse (3101201320112), we get a palindrome (214124303421412).

The spelling of 211023102101300 in words is "two hundred eleven trillion, twenty-three billion, one hundred two million, one hundred one thousand, three hundred".