100210122000 has 200 divisors, whose sum is σ = 361966968792. Its totient is φ = 26722656000.

The previous prime is 100210121987. The next prime is 100210122013. The reversal of 100210122000 is 221012001.

It is an interprime number because it is at equal distance from previous prime (100210121987) and next prime (100210122013).

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 100202636304 = 2736^2 + 316548^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147291 + ... + 471290.

Almost surely, 2^100210122000 is an apocalyptic number.

100210122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210122000 is an abundant number, since it is smaller than the sum of its proper divisors (261756846792).

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

100210122000 is an equidigital number, since it uses as much as digits as its factorization.

100210122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618616 (or 618591 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100210122000 its reverse (221012001), we get a palindrome (100431134001).

The spelling of 100210122000 in words is "one hundred billion, two hundred ten million, one hundred twenty-two thousand".