101221120121 has 16 divisors (see below), whose sum is σ = 111132487680. Its totient is φ = 91428322320.

The previous prime is 101221120111. The next prime is 101221120127. The reversal of 101221120121 is 121021122101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101221120121 is a prime.

It is a super-2 number, since 2×101221120121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101221120096 and 101221120105.

It is not an unprimeable number, because it can be changed into a prime (101221120127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9000620 + ... + 9011858.

It is an arithmetic number, because the mean of its divisors is an integer number (6945780480).

Almost surely, 2^101221120121 is an apocalyptic number.

101221120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101221120121 is a deficient number, since it is larger than the sum of its proper divisors (9911367559).

101221120121 is a wasteful number, since it uses less digits than its factorization.

101221120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16436.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101221120121 its reverse (121021122101), we get a palindrome (222242242222).

The spelling of 101221120121 in words is "one hundred one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".