100211012211020 has 192 divisors, whose sum is σ = 223218592128000. Its totient is φ = 37684757799936.

The previous prime is 100211012210989. The next prime is 100211012211067. The reversal of 100211012211020 is 20112210112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211012210986 and 100211012211004.

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 63 ways as a sum of consecutive naturals, for example, 49389359366 + ... + 49389361394.

It is an arithmetic number, because the mean of its divisors is an integer number (1162596834000).

Almost surely, 2^{100211012211020} is an apocalyptic number.

100211012211020 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 100211012211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111609296064000).

100211012211020 is an abundant number, since it is smaller than the sum of its proper divisors (123007579916980).

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

100211012211020 is a wasteful number, since it uses less digits than its factorization.

100211012211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100211012211020 its reverse (20112210112001), we get a palindrome (120323222323021).

The spelling of 100211012211020 in words is "one hundred trillion, two hundred eleven billion, twelve million, two hundred eleven thousand, twenty".