100211012101200 has 960 divisors, whose sum is σ = 453690061977600. Its totient is φ = 18209641881600.

The previous prime is 100211012101139. The next prime is 100211012101253. The reversal of 100211012101200 is 2101210112001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20627386 + ... + 25018214.

It is an arithmetic number, because the mean of its divisors is an integer number (472593814560).

Almost surely, 2^{100211012101200} is an apocalyptic number.

100211012101200 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 100211012101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226845030988800).

100211012101200 is an abundant number, since it is smaller than the sum of its proper divisors (353479049876400).

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

100211012101200 is a wasteful number, since it uses less digits than its factorization.

100211012101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390900 (or 4390889 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211012101200 its reverse (2101210112001), we get a palindrome (102312222213201).

The spelling of 100211012101200 in words is "one hundred trillion, two hundred eleven billion, twelve million, one hundred one thousand, two hundred".