101211020221201 has 16 divisors (see below), whose sum is σ = 113072578774848. Its totient is φ = 89796404275200.

The previous prime is 101211020221121. The next prime is 101211020221249. The reversal of 101211020221201 is 102122020112101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101211020221201 is a prime.

It is a super-2 number, since 2×101211020221201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101211020221301) 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, 87335940 + ... + 88487221.

It is an arithmetic number, because the mean of its divisors is an integer number (7067036173428).

Almost surely, 2^{101211020221201} is an apocalyptic number.

101211020221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211020221201 is a deficient number, since it is larger than the sum of its proper divisors (11861558553647).

101211020221201 is a wasteful number, since it uses less digits than its factorization.

101211020221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175824432.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101211020221201 its reverse (102122020112101), we get a palindrome (203333040333302).

The spelling of 101211020221201 in words is "one hundred one trillion, two hundred eleven billion, twenty million, two hundred twenty-one thousand, two hundred one".