10345211100 has 216 divisors, whose sum is σ = 38061293088. Its totient is φ = 2300659200.

The previous prime is 10345211083. The next prime is 10345211111. The reversal of 10345211100 is 111254301.

10345211100 is a `hidden beast` number, since 1 + 0 + 34 + 521 + 110 + 0 = 666.

10345211100 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210910 + ... + 255290.

Almost surely, 2^10345211100 is an apocalyptic number.

10345211100 is a gapful number since it is divisible by the number (10) 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 10345211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19030646544).

10345211100 is an abundant number, since it is smaller than the sum of its proper divisors (27716081988).

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

10345211100 is a wasteful number, since it uses less digits than its factorization.

10345211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44445 (or 44435 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10345211100 its reverse (111254301), we get a palindrome (10456465401).

It can be divided in two parts, 10345 and 211100, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 10345211100 in words is "ten billion, three hundred forty-five million, two hundred eleven thousand, one hundred".