10012101100002 has 24 divisors (see below), whose sum is σ = 21831056969436. Its totient is φ = 3316109917536.

The previous prime is 10012101099989. The next prime is 10012101100007. The reversal of 10012101100002 is 20000110121001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9862997772681 + 149103327321 = 3140541^2 + 386139^2 .

It is a super-2 number, since 2×10012101100002² (a number of 27 digits) contains 22 as substring.

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 (10012101100007) 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 11 ways as a sum of consecutive naturals, for example, 1771423413 + ... + 1771429064.

Almost surely, 2^{10012101100002} is an apocalyptic number.

10012101100002 is an abundant number, since it is smaller than the sum of its proper divisors (11818955869434).

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

10012101100002 is a wasteful number, since it uses less digits than its factorization.

10012101100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542852642 (or 3542852639 counting only the distinct ones).

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

Adding to 10012101100002 its reverse (20000110121001), we get a palindrome (30012211221003).

The spelling of 10012101100002 in words is "ten trillion, twelve billion, one hundred one million, one hundred thousand, two".