101010011000220 has 1152 divisors, whose sum is σ = 371690192240640. Its totient is φ = 21721724743680.

The previous prime is 101010011000219. The next prime is 101010011000287. The reversal of 101010011000220 is 22000110010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 117045203509 + ... + 117045204371.

It is an arithmetic number, because the mean of its divisors is an integer number (322647736320).

Almost surely, 2^{101010011000220} is an apocalyptic number.

101010011000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010011000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185845096120320).

101010011000220 is an abundant number, since it is smaller than the sum of its proper divisors (270680181240420).

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

101010011000220 is a wasteful number, since it uses less digits than its factorization.

101010011000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101010011000220 its reverse (22000110010101), we get a palindrome (123010121010321).

The spelling of 101010011000220 in words is "one hundred one trillion, ten billion, eleven million, two hundred twenty", and thus it is an aban number.