101220011221121 has 8 divisors (see below), whose sum is σ = 109108136166120. Its totient is φ = 93346453452672.

The previous prime is 101220011221037. The next prime is 101220011221129. The reversal of 101220011221121 is 121122110022101.

It can be written as a sum of positive squares in 4 ways, for example, as 610304688400 + 100609706532721 = 781220^2 + 10030439^2 .

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 101220011221121 - 2⁴² = 96821964710017 is a prime.

It is a super-2 number, since 2×101220011221121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101220011221121.

It is not an unprimeable number, because it can be changed into a prime (101220011221129) 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, 3641779700 + ... + 3641807493.

It is an arithmetic number, because the mean of its divisors is an integer number (13638517020765).

Almost surely, 2^{101220011221121} is an apocalyptic number.

It is an amenable number.

101220011221121 is a deficient number, since it is larger than the sum of its proper divisors (7888124944999).

101220011221121 is a wasteful number, since it uses less digits than its factorization.

101220011221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7283588275.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101220011221121 its reverse (121122110022101), we get a palindrome (222342121243222).

The spelling of 101220011221121 in words is "one hundred one trillion, two hundred twenty billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".