101111211201121 has 8 divisors (see below), whose sum is σ = 110373351566688. Its totient is φ = 91860772848000.

The previous prime is 101111211201109. The next prime is 101111211201137. The reversal of 101111211201121 is 121102112111101.

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 101111211201121 - 2⁵ = 101111211201089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111211201095 and 101111211201104.

It is not an unprimeable number, because it can be changed into a prime (101111211208121) 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, 2925485040 + ... + 2925519601.

It is an arithmetic number, because the mean of its divisors is an integer number (13796668945836).

Almost surely, 2^{101111211201121} is an apocalyptic number.

101111211201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101111211201121 is a deficient number, since it is larger than the sum of its proper divisors (9262140365567).

101111211201121 is a wasteful number, since it uses less digits than its factorization.

101111211201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851006223.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101111211201121 its reverse (121102112111101), we get a palindrome (222213323312222).

The spelling of 101111211201121 in words is "one hundred one trillion, one hundred eleven billion, two hundred eleven million, two hundred one thousand, one hundred twenty-one".