100010102210001 has 48 divisors (see below), whose sum is σ = 147012300479616. Its totient is φ = 65502196708608.

The previous prime is 100010102209999. The next prime is 100010102210027. The reversal of 100010102210001 is 100012201010001.

It is a happy number.

It is not a de Polignac number, because 100010102210001 - 2¹ = 100010102209999 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 (100010102230001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1681745070 + ... + 1681804536.

It is an arithmetic number, because the mean of its divisors is an integer number (3062756259992).

Almost surely, 2^{100010102210001} is an apocalyptic number.

It is an amenable number.

100010102210001 is a deficient number, since it is larger than the sum of its proper divisors (47002198269615).

100010102210001 is a wasteful number, since it uses less digits than its factorization.

100010102210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69542 (or 69539 counting only the distinct ones).

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

Adding to 100010102210001 its reverse (100012201010001), we get a palindrome (200022303220002).

The spelling of 100010102210001 in words is "one hundred trillion, ten billion, one hundred two million, two hundred ten thousand, one".