1012200101001 has 6 divisors (see below), whose sum is σ = 1462066812570. Its totient is φ = 674800067328.

The previous prime is 1012200100997. The next prime is 1012200101023. The reversal of 1012200101001 is 1001010022101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 993857461776 + 18342639225 = 996924^2 + 135435^2 .

It is not a de Polignac number, because 1012200101001 - 2² = 1012200100997 is a prime.

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: 112466677889 = 1012200101001 / (1 + 0 + 1 + 2 + 2 + 0 + 0 + 1 + 0 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1012200101501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56233338936 + ... + 56233338953.

It is an arithmetic number, because the mean of its divisors is an integer number (243677802095).

Almost surely, 2^{1012200101001} is an apocalyptic number.

It is an amenable number.

1012200101001 is a deficient number, since it is larger than the sum of its proper divisors (449866711569).

1012200101001 is a wasteful number, since it uses less digits than its factorization.

1012200101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112466677895 (or 112466677892 counting only the distinct ones).

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

Adding to 1012200101001 its reverse (1001010022101), we get a palindrome (2013210123102).

The spelling of 1012200101001 in words is "one trillion, twelve billion, two hundred million, one hundred one thousand, one".