100211012220 has 48 divisors (see below), whose sum is σ = 306099093888. Its totient is φ = 24293578560.

The previous prime is 100211012201. The next prime is 100211012227. The reversal of 100211012220 is 22210112001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100211012196 and 100211012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211012227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75916774 + ... + 75918093.

It is an arithmetic number, because the mean of its divisors is an integer number (6377064456).

Almost surely, 2^100211012220 is an apocalyptic number.

100211012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211012220 is an abundant number, since it is smaller than the sum of its proper divisors (205888081668).

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

100211012220 is a wasteful number, since it uses less digits than its factorization.

100211012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151834890 (or 151834888 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100211012220 its reverse (22210112001), we get a palindrome (122421124221).

The spelling of 100211012220 in words is "one hundred billion, two hundred eleven million, twelve thousand, two hundred twenty".