100200201121020 has 384 divisors, whose sum is σ = 376760725512192. Its totient is φ = 19215952819200.

The previous prime is 100200201120991. The next prime is 100200201121063. The reversal of 100200201121020 is 20121102002001.

It is a super-3 number, since 3×100200201121020³ (a number of 43 digits) contains 333 as substring.

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 = 100200201120987 and 100200201121005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 360881887 + ... + 361159433.

It is an arithmetic number, because the mean of its divisors is an integer number (981147722688).

Almost surely, 2^{100200201121020} is an apocalyptic number.

100200201121020 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 100200201121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188380362756096).

100200201121020 is an abundant number, since it is smaller than the sum of its proper divisors (276560524391172).

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

100200201121020 is a wasteful number, since it uses less digits than its factorization.

100200201121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283601 (or 283599 counting only the distinct ones).

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

Adding to 100200201121020 its reverse (20121102002001), we get a palindrome (120321303123021).

The spelling of 100200201121020 in words is "one hundred trillion, two hundred billion, two hundred one million, one hundred twenty-one thousand, twenty".