100101220212020 has 72 divisors (see below), whose sum is σ = 219820827489480. Its totient is φ = 38287186094080.

The previous prime is 100101220212017. The next prime is 100101220212163. The reversal of 100101220212020 is 20212022101001.

It can be written as a sum of positive squares in 4 ways, for example, as 32482636017316 + 67618584194704 = 5699354^2 + 8223052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100101220211986 and 100101220212004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31150160 + ... + 34213080.

It is an arithmetic number, because the mean of its divisors is an integer number (3053067048465).

Almost surely, 2^{100101220212020} is an apocalyptic number.

100101220212020 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 100101220212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109910413744740).

100101220212020 is an abundant number, since it is smaller than the sum of its proper divisors (119719607277460).

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

100101220212020 is a wasteful number, since it uses less digits than its factorization.

100101220212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066065 (or 3066040 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100101220212020 its reverse (20212022101001), we get a palindrome (120313242313021).

The spelling of 100101220212020 in words is "one hundred trillion, one hundred one billion, two hundred twenty million, two hundred twelve thousand, twenty".