100211211210 has 512 divisors, whose sum is σ = 296042397696. Its totient is φ = 21432320000.

The previous prime is 100211211179. The next prime is 100211211271. The reversal of 100211211210 is 12112112001.

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, 992190160 + ... + 992190260.

It is an arithmetic number, because the mean of its divisors is an integer number (578207808).

Almost surely, 2^100211211210 is an apocalyptic number.

100211211210 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 100211211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148021198848).

100211211210 is an abundant number, since it is smaller than the sum of its proper divisors (195831186486).

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

100211211210 is a wasteful number, since it uses less digits than its factorization.

100211211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211211210 its reverse (12112112001), we get a palindrome (112323323211).

The spelling of 100211211210 in words is "one hundred billion, two hundred eleven million, two hundred eleven thousand, two hundred ten".