1010010111201 has 288 divisors, whose sum is σ = 1960290128160. Its totient is φ = 495709175808.

The previous prime is 1010010111113. The next prime is 1010010111217. The reversal of 1010010111201 is 1021110100101.

It can be written as a sum of positive squares in 16 ways, for example, as 125656070400 + 884354040801 = 354480^2 + 940401^2 .

It is not a de Polignac number, because 1010010111201 - 2⁹ = 1010010110689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1010010111101) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 695119791 + ... + 695121243.

It is an arithmetic number, because the mean of its divisors is an integer number (6806562945).

Almost surely, 2^{1010010111201} is an apocalyptic number.

It is an amenable number.

1010010111201 is a deficient number, since it is larger than the sum of its proper divisors (950280016959).

1010010111201 is a wasteful number, since it uses less digits than its factorization.

1010010111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010010111201 its reverse (1021110100101), we get a palindrome (2031120211302).

It can be divided in two parts, 1010010 and 111201, that added together give a palindrome (1121211).

The spelling of 1010010111201 in words is "one trillion, ten billion, ten million, one hundred eleven thousand, two hundred one".