101120000211121 has 8 divisors (see below), whose sum is σ = 101224681774920. Its totient is φ = 101015372239872.

The previous prime is 101120000211091. The next prime is 101120000211169. The reversal of 101120000211121 is 121112000021101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18206956175521 + 82913044035600 = 4266961^2 + 9105660^2 .

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 101120000211121 - 2²⁵ = 101119966656689 is a prime.

It is a super-2 number, since 2×101120000211121² (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 (101120000211721) 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, 9621976 + ... + 17170393.

It is an arithmetic number, because the mean of its divisors is an integer number (12653085221865).

Almost surely, 2^{101120000211121} is an apocalyptic number.

It is an amenable number.

101120000211121 is a deficient number, since it is larger than the sum of its proper divisors (104681563799).

101120000211121 is a wasteful number, since it uses less digits than its factorization.

101120000211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26796275.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101120000211121 its reverse (121112000021101), we get a palindrome (222232000232222).

The spelling of 101120000211121 in words is "one hundred one trillion, one hundred twenty billion, two hundred eleven thousand, one hundred twenty-one".