100211222221110 has 512 divisors, whose sum is σ = 358835531120640. Its totient is φ = 19219334745600.

The previous prime is 100211222221067. The next prime is 100211222221111. The reversal of 100211222221110 is 11122222112001.

100211222221110 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 222 + 221 + 1 + 10 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211222221111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4965120079 + ... + 4965140261.

It is an arithmetic number, because the mean of its divisors is an integer number (700850646720).

Almost surely, 2^{100211222221110} is an apocalyptic number.

100211222221110 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 100211222221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179417765560320).

100211222221110 is an abundant number, since it is smaller than the sum of its proper divisors (258624308899530).

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

100211222221110 is a wasteful number, since it uses less digits than its factorization.

100211222221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38601 (or 38595 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100211222221110 its reverse (11122222112001), we get a palindrome (111333444333111).

The spelling of 100211222221110 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred ten".