200101002210101 has 8 divisors (see below), whose sum is σ = 207078017525400. Its totient is φ = 193129118945280.

The previous prime is 200101002210077. The next prime is 200101002210133. The reversal of 200101002210101 is 101012200101002.

It can be written as a sum of positive squares in 4 ways, for example, as 668141125201 + 199432861084900 = 817399^2 + 14122070^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 200101002210101 - 2¹⁰ = 200101002209077 is a prime.

It is a super-2 number, since 2×200101002210101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101002210601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1282933280 + ... + 1283089241.

It is an arithmetic number, because the mean of its divisors is an integer number (25884752190675).

Almost surely, 2^{200101002210101} is an apocalyptic number.

It is an amenable number.

200101002210101 is a deficient number, since it is larger than the sum of its proper divisors (6977015315299).

200101002210101 is a wasteful number, since it uses less digits than its factorization.

200101002210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566025239.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200101002210101 its reverse (101012200101002), we get a palindrome (301113202311103).

The spelling of 200101002210101 in words is "two hundred trillion, one hundred one billion, two million, two hundred ten thousand, one hundred one".