100021220011020 has 1152 divisors, whose sum is σ = 365353882435584. Its totient is φ = 20211206400000.

The previous prime is 100021220010983. The next prime is 100021220011039. The reversal of 100021220011020 is 20110022120001.

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 = 100021220010987 and 100021220011005.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 76762255689 + ... + 76762256991.

It is an arithmetic number, because the mean of its divisors is an integer number (317147467392).

Almost surely, 2^{100021220011020} is an apocalyptic number.

100021220011020 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 100021220011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182676941217792).

100021220011020 is an abundant number, since it is smaller than the sum of its proper divisors (265332662424564).

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

100021220011020 is a wasteful number, since it uses less digits than its factorization.

100021220011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1834 counting only the distinct ones).

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

Adding to 100021220011020 its reverse (20110022120001), we get a palindrome (120131242131021).

The spelling of 100021220011020 in words is "one hundred trillion, twenty-one billion, two hundred twenty million, eleven thousand, twenty".