120221211000121 has 64 divisors (see below), whose sum is σ = 151572309626880. Its totient is φ = 92631219183360.

The previous prime is 120221211000101. The next prime is 120221211000131. The reversal of 120221211000121 is 121000112122021.

It is not a de Polignac number, because 120221211000121 - 2⁹ = 120221210999609 is a prime.

It is a super-2 number, since 2×120221211000121² (a number of 29 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 = 120221211000095 and 120221211000104.

It is not an unprimeable number, because it can be changed into a prime (120221211000101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6497380956 + ... + 6497399458.

It is an arithmetic number, because the mean of its divisors is an integer number (2368317337920).

Almost surely, 2^{120221211000121} is an apocalyptic number.

120221211000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120221211000121 is a deficient number, since it is larger than the sum of its proper divisors (31351098626759).

120221211000121 is a wasteful number, since it uses less digits than its factorization.

120221211000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21254.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120221211000121 its reverse (121000112122021), we get a palindrome (241221323122142).

The spelling of 120221211000121 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twenty-one", and thus it is an aban number.