100102212000 has 576 divisors, whose sum is σ = 408673085184. Its totient is φ = 22730803200.

The previous prime is 100102211983. The next prime is 100102212011. The reversal of 100102212000 is 212201001.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41074782 + ... + 41077218.

It is an arithmetic number, because the mean of its divisors is an integer number (709501884).

Almost surely, 2^100102212000 is an apocalyptic number.

100102212000 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 100102212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204336542592).

100102212000 is an abundant number, since it is smaller than the sum of its proper divisors (308570873184).

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

100102212000 is a wasteful number, since it uses less digits than its factorization.

100102212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2617 counting only the distinct ones).

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

Adding to 100102212000 its reverse (212201001), we get a palindrome (100314413001).

It can be divided in two parts, 100 and 102212000, that added together give a square (102212100 = 10110²).

The spelling of 100102212000 in words is "one hundred billion, one hundred two million, two hundred twelve thousand".