100101001022220 has 192 divisors, whose sum is σ = 315194331110400. Its totient is φ = 23523271971840.

The previous prime is 100101001022203. The next prime is 100101001022237. The reversal of 100101001022220 is 22220100101001.

It is an interprime number because it is at equal distance from previous prime (100101001022203) and next prime (100101001022237).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100101001022196 and 100101001022205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1050240 + ... + 14188199.

It is an arithmetic number, because the mean of its divisors is an integer number (1641637141200).

Almost surely, 2^{100101001022220} is an apocalyptic number.

100101001022220 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 100101001022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157597165555200).

100101001022220 is an abundant number, since it is smaller than the sum of its proper divisors (215093330088180).

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

100101001022220 is a wasteful number, since it uses less digits than its factorization.

100101001022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15238768 (or 15238766 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100101001022220 its reverse (22220100101001), we get a palindrome (122321101123221).

The spelling of 100101001022220 in words is "one hundred trillion, one hundred one billion, one million, twenty-two thousand, two hundred twenty".