100101220030110 has 256 divisors, whose sum is σ = 267011075358720. Its totient is φ = 23862615552000.

The previous prime is 100101220030109. The next prime is 100101220030127. The reversal of 100101220030110 is 11030022101001.

It is a super-2 number, since 2×100101220030110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1500442114 + ... + 1500508826.

It is an arithmetic number, because the mean of its divisors is an integer number (1043012013120).

Almost surely, 2^{100101220030110} is an apocalyptic number.

100101220030110 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 100101220030110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133505537679360).

100101220030110 is an abundant number, since it is smaller than the sum of its proper divisors (166909855328610).

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

100101220030110 is a wasteful number, since it uses less digits than its factorization.

100101220030110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67643.

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

Adding to 100101220030110 its reverse (11030022101001), we get a palindrome (111131242131111).

The spelling of 100101220030110 in words is "one hundred trillion, one hundred one billion, two hundred twenty million, thirty thousand, one hundred ten".