100220020200020 has 192 divisors, whose sum is σ = 252390904614912. Its totient is φ = 32703243264000.

The previous prime is 100220020200019. The next prime is 100220020200029. The reversal of 100220020200020 is 20002020022001.

It is a junction number, because it is equal to n+sod(n) for n = 100220020199974 and 100220020200010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220020200029) 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, 2430557324 + ... + 2430598556.

It is an arithmetic number, because the mean of its divisors is an integer number (1314535961536).

Almost surely, 2^{100220020200020} is an apocalyptic number.

100220020200020 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 100220020200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126195452307456).

100220020200020 is an abundant number, since it is smaller than the sum of its proper divisors (152170884414892).

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

100220020200020 is a wasteful number, since it uses less digits than its factorization.

100220020200020 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 32, while the sum is 11.

Adding to 100220020200020 its reverse (20002020022001), we get a palindrome (120222040222021).

The spelling of 100220020200020 in words is "one hundred trillion, two hundred twenty billion, twenty million, two hundred thousand, twenty".