210123321012 has 216 divisors, whose sum is σ = 600855565128. Its totient is φ = 61823139840.

The previous prime is 210123320971. The next prime is 210123321101.

210123321012 is a `hidden beast` number, since 210 + 1 + 233 + 210 + 12 = 666.

210123321012 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 866478096 + 209256842916 = 29436^2 + 457446^2 .

It is a super-2 number, since 2×210123321012² (a number of 23 digits) contains 22 as substring.

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, 99442068 + ... + 99444180.

Almost surely, 2^210123321012 is an apocalyptic number.

210123321012 is a gapful number since it is divisible by the number (22) 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 210123321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300427782564).

210123321012 is an abundant number, since it is smaller than the sum of its proper divisors (390732244116).

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

210123321012 is a wasteful number, since it uses less digits than its factorization.

210123321012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 210123 and 321012, that added together give a palindrome (531135).

The spelling of 210123321012 in words is "two hundred ten billion, one hundred twenty-three million, three hundred twenty-one thousand, twelve".