100122122202210 has 512 divisors, whose sum is σ = 297959679360000. Its totient is φ = 23806677565440.

The previous prime is 100122122202203. The next prime is 100122122202281. The reversal of 100122122202210 is 12202221221001.

It is a happy number.

100122122202210 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 221 + 2 + 220 + 221 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3402143776 + ... + 3402173204.

It is an arithmetic number, because the mean of its divisors is an integer number (581952498750).

Almost surely, 2^{100122122202210} is an apocalyptic number.

100122122202210 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 100122122202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148979839680000).

100122122202210 is an abundant number, since it is smaller than the sum of its proper divisors (197837557157790).

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

100122122202210 is a wasteful number, since it uses less digits than its factorization.

100122122202210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29971 (or 29965 counting only the distinct ones).

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

Adding to 100122122202210 its reverse (12202221221001), we get a palindrome (112324343423211).

The spelling of 100122122202210 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred two thousand, two hundred ten".