200101002010101 has 6 divisors (see below), whose sum is σ = 289034780681270. Its totient is φ = 133400668006728.

The previous prime is 200101002010093. The next prime is 200101002010127. The reversal of 200101002010101 is 101010200101002.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 198462023399025 + 1638978611076 = 14087655^2 + 1280226^2 .

It is not a de Polignac number, because 200101002010101 - 2³ = 200101002010093 is a prime.

It is a super-2 number, since 2×200101002010101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 22233444667789 = 200101002010101 / (2 + 0 + 0 + 1 + 0 + 1 + 0 + 0 + 2 + 0 + 1 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101002010141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11116722333886 + ... + 11116722333903.

Almost surely, 2^{200101002010101} is an apocalyptic number.

It is an amenable number.

200101002010101 is a deficient number, since it is larger than the sum of its proper divisors (88933778671169).

200101002010101 is a wasteful number, since it uses less digits than its factorization.

200101002010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22233444667795 (or 22233444667792 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200101002010101 its reverse (101010200101002), we get a palindrome (301111202111103).

The spelling of 200101002010101 in words is "two hundred trillion, one hundred one billion, two million, ten thousand, one hundred one".