100211000120000 has 560 divisors, whose sum is σ = 312874964962560. Its totient is φ = 30925248000000.

The previous prime is 100211000119999. The next prime is 100211000120029. The reversal of 100211000120000 is 21000112001.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 100211000120000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 310918931 + ... + 311241069.

It is an arithmetic number, because the mean of its divisors is an integer number (558705294576).

Almost surely, 2^{100211000120000} is an apocalyptic number.

100211000120000 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 100211000120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156437482481280).

100211000120000 is an abundant number, since it is smaller than the sum of its proper divisors (212663964842560).

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

100211000120000 is a wasteful number, since it uses less digits than its factorization.

100211000120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322290 (or 322265 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100211000120000 its reverse (21000112001), we get a palindrome (100232000232001).

The spelling of 100211000120000 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty thousand".