101201122001 has 16 divisors (see below), whose sum is σ = 116649257088. Its totient is φ = 86003596800.

The previous prime is 101201121953. The next prime is 101201122003. The reversal of 101201122001 is 100221102101.

It is a cyclic number.

It is not a de Polignac number, because 101201122001 - 2¹⁴ = 101201105617 is a prime.

It is a super-2 number, since 2×101201122001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101201122003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298721 + ... + 540033.

It is an arithmetic number, because the mean of its divisors is an integer number (7290578568).

Almost surely, 2^101201122001 is an apocalyptic number.

It is an amenable number.

101201122001 is a deficient number, since it is larger than the sum of its proper divisors (15448135087).

101201122001 is a wasteful number, since it uses less digits than its factorization.

101201122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241832.

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

Adding to 101201122001 its reverse (100221102101), we get a palindrome (201422224102).

The spelling of 101201122001 in words is "one hundred one billion, two hundred one million, one hundred twenty-two thousand, one".