100212220212210 has 192 divisors, whose sum is σ = 283287393792000. Its totient is φ = 24484947546240.

The previous prime is 100212220212161. The next prime is 100212220212211. The reversal of 100212220212210 is 12212022212001.

It is a happy number.

100212220212210 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 2 + 220 + 212 + 210 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100212220212211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85239361 + ... + 86407019.

It is an arithmetic number, because the mean of its divisors is an integer number (1475455176000).

Almost surely, 2^{100212220212210} is an apocalyptic number.

100212220212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212220212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141643696896000).

100212220212210 is an abundant number, since it is smaller than the sum of its proper divisors (183075173579790).

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

100212220212210 is a wasteful number, since it uses less digits than its factorization.

100212220212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169341 (or 1169338 counting only the distinct ones).

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

Adding to 100212220212210 its reverse (12212022212001), we get a palindrome (112424242424211).

The spelling of 100212220212210 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty million, two hundred twelve thousand, two hundred ten".