101002222010001 has 64 divisors (see below), whose sum is σ = 157618071797760. Its totient is φ = 56972992032000.

The previous prime is 101002222009981. The next prime is 101002222010021. The reversal of 101002222010001 is 100010222200101.

It is an interprime number because it is at equal distance from previous prime (101002222009981) and next prime (101002222010021).

It is not a de Polignac number, because 101002222010001 - 2⁹ = 101002222009489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101002222010021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114899536 + ... + 115775246.

It is an arithmetic number, because the mean of its divisors is an integer number (2462782371840).

Almost surely, 2^{101002222010001} is an apocalyptic number.

It is an amenable number.

101002222010001 is a deficient number, since it is larger than the sum of its proper divisors (56615849787759).

101002222010001 is a wasteful number, since it uses less digits than its factorization.

101002222010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880798.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101002222010001 its reverse (100010222200101), we get a palindrome (201012444210102).

The spelling of 101002222010001 in words is "one hundred one trillion, two billion, two hundred twenty-two million, ten thousand, one".