101220122112121 has 8 divisors (see below), whose sum is σ = 106686140419080. Its totient is φ = 95885815089792.

The previous prime is 101220122112101. The next prime is 101220122112139. The reversal of 101220122112121 is 121211221022101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31977170186896 + 69242951925225 = 5654836^2 + 8321235^2 .

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 101220122112121 - 2⁵ = 101220122112089 is a prime.

It is a super-2 number, since 2×101220122112121² (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 (101220122112101) 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, 32927819580 + ... + 32927822653.

It is an arithmetic number, because the mean of its divisors is an integer number (13335767552385).

Almost surely, 2^{101220122112121} is an apocalyptic number.

It is an amenable number.

101220122112121 is a deficient number, since it is larger than the sum of its proper divisors (5466018306959).

101220122112121 is an equidigital number, since it uses as much as digits as its factorization.

101220122112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65855642315.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101220122112121 its reverse (121211221022101), we get a palindrome (222431343134222).

The spelling of 101220122112121 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".