100211120020020 has 192 divisors, whose sum is σ = 284953484035584. Its totient is φ = 26310668451840.

The previous prime is 100211120020019. The next prime is 100211120020021. The reversal of 100211120020020 is 20020021112001.

It is an interprime number because it is at equal distance from previous prime (100211120020019) and next prime (100211120020021).

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 = 100211120019978 and 100211120020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211120020021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2066994180 + ... + 2067042660.

It is an arithmetic number, because the mean of its divisors is an integer number (1484132729352).

Almost surely, 2^{100211120020020} is an apocalyptic number.

100211120020020 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 100211120020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142476742017792).

100211120020020 is an abundant number, since it is smaller than the sum of its proper divisors (184742364015564).

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

100211120020020 is a wasteful number, since it uses less digits than its factorization.

100211120020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50522 (or 50520 counting only the distinct ones).

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

Adding to 100211120020020 its reverse (20020021112001), we get a palindrome (120231141132021).

The spelling of 100211120020020 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty million, twenty thousand, twenty".