101211222202001 has 8 divisors (see below), whose sum is σ = 101260211576520. Its totient is φ = 101162234354688.

The previous prime is 101211222201931. The next prime is 101211222202003. The reversal of 101211222202001 is 100202222112101.

It can be written as a sum of positive squares in 4 ways, for example, as 36657212430400 + 64554009771601 = 6054520^2 + 8034551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101211222202001 is a prime.

It is a super-2 number, since 2×101211222202001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101211222202003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145672505 + ... + 146365641.

It is an arithmetic number, because the mean of its divisors is an integer number (12657526447065).

Almost surely, 2^{101211222202001} is an apocalyptic number.

It is an amenable number.

101211222202001 is a deficient number, since it is larger than the sum of its proper divisors (48989374519).

101211222202001 is an equidigital number, since it uses as much as digits as its factorization.

101211222202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763603.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101211222202001 its reverse (100202222112101), we get a palindrome (201413444314102).

The spelling of 101211222202001 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-two million, two hundred two thousand, one".