100100211020020 has 96 divisors (see below), whose sum is σ = 223463092960800. Its totient is φ = 37665015283712.

The previous prime is 100100211020009. The next prime is 100100211020101. The reversal of 100100211020020 is 20020112001001.

It can be written as a sum of positive squares in 16 ways, for example, as 12384923485284 + 87715287534736 = 3519222^2 + 9365644^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100100211019979 and 100100211020006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187705116 + ... + 188237644.

It is an arithmetic number, because the mean of its divisors is an integer number (2327740551675).

Almost surely, 2^{100100211020020} is an apocalyptic number.

100100211020020 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 100100211020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111731546480400).

100100211020020 is an abundant number, since it is smaller than the sum of its proper divisors (123362881940780).

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

100100211020020 is a wasteful number, since it uses less digits than its factorization.

100100211020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534502 (or 534466 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100211020020 its reverse (20020112001001), we get a palindrome (120120323021021).

The spelling of 100100211020020 in words is "one hundred trillion, one hundred billion, two hundred eleven million, twenty thousand, twenty".