100110211211010 has 1024 divisors, whose sum is σ = 344748726927360. Its totient is φ = 17915904000000.

The previous prime is 100110211210967. The next prime is 100110211211011. The reversal of 100110211211010 is 10112112011001.

It is not an unprimeable number, because it can be changed into a prime (100110211211011) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 11122116510 + ... + 11122125510.

It is an arithmetic number, because the mean of its divisors is an integer number (336668678640).

Almost surely, 2^{100110211211010} is an apocalyptic number.

100110211211010 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 100110211211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172374363463680).

100110211211010 is an abundant number, since it is smaller than the sum of its proper divisors (244638515716350).

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

100110211211010 is a wasteful number, since it uses less digits than its factorization.

100110211211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9355.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100110211211010 its reverse (10112112011001), we get a palindrome (110222323222011).

The spelling of 100110211211010 in words is "one hundred trillion, one hundred ten billion, two hundred eleven million, two hundred eleven thousand, ten".