101211220001 has 8 divisors (see below), whose sum is σ = 104705051880. Its totient is φ = 97717640832.

The previous prime is 101211219971. The next prime is 101211220003. The reversal of 101211220001 is 100022112101.

It can be written as a sum of positive squares in 4 ways, for example, as 48421562401 + 52789657600 = 220049^2 + 229760^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101211220001 - 2⁶ = 101211219937 is a prime.

It is a super-2 number, since 2×101211220001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101211220003) 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, 1140821 + ... + 1226333.

It is an arithmetic number, because the mean of its divisors is an integer number (13088131485).

Almost surely, 2^101211220001 is an apocalyptic number.

It is an amenable number.

101211220001 is a deficient number, since it is larger than the sum of its proper divisors (3493831879).

101211220001 is an equidigital number, since it uses as much as digits as its factorization.

101211220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126355.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101211220001 its reverse (100022112101), we get a palindrome (201233332102).

The spelling of 101211220001 in words is "one hundred one billion, two hundred eleven million, two hundred twenty thousand, one".