101021002110001 has 4 divisors (see below), whose sum is σ = 101021741780004. Its totient is φ = 101020262440000.

The previous prime is 101021002109959. The next prime is 101021002110023. The reversal of 101021002110001 is 100011200120101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 71761568288400 + 29259433821601 = 8471220^2 + 5409199^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021002110001 - 2¹⁷ = 101021001978929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101021002110001.

It is not an unprimeable number, because it can be changed into a prime (101021002110031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 369630100 + ... + 369903301.

It is an arithmetic number, because the mean of its divisors is an integer number (25255435445001).

Almost surely, 2^{101021002110001} is an apocalyptic number.

It is an amenable number.

101021002110001 is a deficient number, since it is larger than the sum of its proper divisors (739670003).

101021002110001 is an equidigital number, since it uses as much as digits as its factorization.

101021002110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739670002.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101021002110001 its reverse (100011200120101), we get a palindrome (201032202230102).

The spelling of 101021002110001 in words is "one hundred one trillion, twenty-one billion, two million, one hundred ten thousand, one".