100212120101000 has 128 divisors (see below), whose sum is σ = 238814474895360. Its totient is φ = 39349322208000.

The previous prime is 100212120100999. The next prime is 100212120101017. The reversal of 100212120101000 is 101021212001.

It is a super-3 number, since 3×100212120101000³ (a number of 43 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 29049977 + ... + 32316023.

It is an arithmetic number, because the mean of its divisors is an integer number (1865738085120).

Almost surely, 2^{100212120101000} is an apocalyptic number.

100212120101000 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 100212120101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119407237447680).

100212120101000 is an abundant number, since it is smaller than the sum of its proper divisors (138602354794360).

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

100212120101000 is a wasteful number, since it uses less digits than its factorization.

100212120101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266632 (or 3266618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100212120101000 its reverse (101021212001), we get a palindrome (100313141313001).

The spelling of 100212120101000 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty million, one hundred one thousand".