200101121010100 has 216 divisors, whose sum is σ = 467157657808800. Its totient is φ = 74364338822400.

The previous prime is 200101121010053. The next prime is 200101121010113. The reversal of 200101121010100 is 1010121101002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 892315990 + ... + 892540210.

It is an arithmetic number, because the mean of its divisors is an integer number (2162766934300).

Almost surely, 2^{200101121010100} is an apocalyptic number.

200101121010100 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 200101121010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233578828904400).

200101121010100 is an abundant number, since it is smaller than the sum of its proper divisors (267056536798700).

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

200101121010100 is a wasteful number, since it uses less digits than its factorization.

200101121010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224751 (or 224725 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 200101121010100 its reverse (1010121101002), we get a palindrome (201111242111102).

The spelling of 200101121010100 in words is "two hundred trillion, one hundred one billion, one hundred twenty-one million, ten thousand, one hundred".