101221001211121 has 8 divisors (see below), whose sum is σ = 112294485165600. Its totient is φ = 90459446382240.

The previous prime is 101221001211101. The next prime is 101221001211131. The reversal of 101221001211121 is 121112100122101.

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 101221001211121 - 2²⁵ = 101220967656689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101221001211095 and 101221001211104.

It is not an unprimeable number, because it can be changed into a prime (101221001211101) 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, 77982280716 + ... + 77982282013.

It is an arithmetic number, because the mean of its divisors is an integer number (14036810645700).

Almost surely, 2^{101221001211121} is an apocalyptic number.

101221001211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221001211121 is a deficient number, since it is larger than the sum of its proper divisors (11073483954479).

101221001211121 is a wasteful number, since it uses less digits than its factorization.

101221001211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155964562799.

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

Adding to 101221001211121 its reverse (121112100122101), we get a palindrome (222333101333222).

The spelling of 101221001211121 in words is "one hundred one trillion, two hundred twenty-one billion, one million, two hundred eleven thousand, one hundred twenty-one".