120121102101 has 192 divisors, whose sum is σ = 230268326400. Its totient is φ = 54095247360.

The previous prime is 120121102067. The next prime is 120121102103. The reversal of 120121102101 is 101201121021.

It is not a de Polignac number, because 120121102101 - 2¹⁵ = 120121069333 is a prime.

It is a super-2 number, since 2×120121102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120121102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35442715 + ... + 35446103.

It is an arithmetic number, because the mean of its divisors is an integer number (1199314200).

Almost surely, 2^120121102101 is an apocalyptic number.

120121102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120121102101 is a deficient number, since it is larger than the sum of its proper divisors (110147224299).

120121102101 is a wasteful number, since it uses less digits than its factorization.

120121102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120121102101 its reverse (101201121021), we get a palindrome (221322223122).

It can be divided in two parts, 120121 and 102101, that added together give a palindrome (222222).

The spelling of 120121102101 in words is "one hundred twenty billion, one hundred twenty-one million, one hundred two thousand, one hundred one".