200121202101100 has 144 divisors (see below), whose sum is σ = 501473784179200. Its totient is φ = 67897954252800.

The previous prime is 200121202101061. The next prime is 200121202101101. The reversal of 200121202101100 is 1101202121002.

It is a super-2 number, since 2×200121202101100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200121202101101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617116801 + ... + 617440999.

Almost surely, 2^{200121202101100} is an apocalyptic number.

200121202101100 is a gapful number since it is divisible by the number (20) 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 200121202101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250736892089600).

200121202101100 is an abundant number, since it is smaller than the sum of its proper divisors (301352582078100).

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

200121202101100 is a wasteful number, since it uses less digits than its factorization.

200121202101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333408 (or 333401 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200121202101100 its reverse (1101202121002), we get a palindrome (201222404222102).

The spelling of 200121202101100 in words is "two hundred trillion, one hundred twenty-one billion, two hundred two million, one hundred one thousand, one hundred".