100100212000 has 96 divisors (see below), whose sum is σ = 248245845120. Its totient is φ = 39665708800.

The previous prime is 100100211997. The next prime is 100100212027. The reversal of 100100212000 is 212001001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311061 + ... + 544939.

It is an arithmetic number, because the mean of its divisors is an integer number (2585894220).

Almost surely, 2^100100212000 is an apocalyptic number.

100100212000 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 100100212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124122922560).

100100212000 is an abundant number, since it is smaller than the sum of its proper divisors (148145633120).

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

100100212000 is a wasteful number, since it uses less digits than its factorization.

100100212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234011 (or 233993 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100100212000 its reverse (212001001), we get a palindrome (100312213001).

The spelling of 100100212000 in words is "one hundred billion, one hundred million, two hundred twelve thousand".