100210122012 has 384 divisors, whose sum is σ = 339428597760. Its totient is φ = 22144803840.

The previous prime is 100210121987. The next prime is 100210122013. The reversal of 100210122012 is 210221012001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210122013) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8438503 + ... + 8450369.

It is an arithmetic number, because the mean of its divisors is an integer number (883928640).

Almost surely, 2^100210122012 is an apocalyptic number.

100210122012 is a gapful number since it is divisible by the number (12) 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 100210122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169714298880).

100210122012 is an abundant number, since it is smaller than the sum of its proper divisors (239218475748).

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

100210122012 is a wasteful number, since it uses less digits than its factorization.

100210122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11961 (or 11959 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100210122012 its reverse (210221012001), we get a palindrome (310431134013).

It can be divided in two parts, 100210 and 122012, that added together give a palindrome (222222).

The spelling of 100210122012 in words is "one hundred billion, two hundred ten million, one hundred twenty-two thousand, twelve".