200101002201100 has 288 divisors, whose sum is σ = 617302131134976. Its totient is φ = 54184956825600.

The previous prime is 200101002201097. The next prime is 200101002201101. The reversal of 200101002201100 is 1102200101002.

It is a super-2 number, since 2×200101002201100² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (200101002201101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57092742 + ... + 60496141.

It is an arithmetic number, because the mean of its divisors is an integer number (2143410177552).

Almost surely, 2^{200101002201100} is an apocalyptic number.

200101002201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101002201100 is an abundant number, since it is smaller than the sum of its proper divisors (417201128933876).

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

200101002201100 is a wasteful number, since it uses less digits than its factorization.

200101002201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117588945 (or 117588938 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200101002201100 its reverse (1102200101002), we get a palindrome (201203202302102).

The spelling of 200101002201100 in words is "two hundred trillion, one hundred one billion, two million, two hundred one thousand, one hundred".