100212110222220 has 48 divisors (see below), whose sum is σ = 311771009581920. Its totient is φ = 26723229392448.

The previous prime is 100212110222219. The next prime is 100212110222221. The reversal of 100212110222220 is 22222011212001.

It is a happy number.

100212110222220 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 1 + 10 + 222 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (100212110222219) and next prime (100212110222221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100212110222193 and 100212110222202.

It is not an unprimeable number, because it can be changed into a prime (100212110222221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92788990407 + ... + 92788991486.

It is an arithmetic number, because the mean of its divisors is an integer number (6495229366290).

Almost surely, 2^{100212110222220} is an apocalyptic number.

100212110222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212110222220 is an abundant number, since it is smaller than the sum of its proper divisors (211558899359700).

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

100212110222220 is a wasteful number, since it uses less digits than its factorization.

100212110222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185577981911 (or 185577981903 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100212110222220 its reverse (22222011212001), we get a palindrome (122434121434221).

The spelling of 100212110222220 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, two hundred twenty-two thousand, two hundred twenty".