101211210122120 has 64 divisors (see below), whose sum is σ = 263922994656000. Its totient is φ = 34212240034560.

The previous prime is 101211210122117. The next prime is 101211210122129. The reversal of 101211210122120 is 21221012112101.

It is not an unprimeable number, because it can be changed into a prime (101211210122129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2545533695 + ... + 2545573454.

It is an arithmetic number, because the mean of its divisors is an integer number (4123796791500).

Almost surely, 2^{101211210122120} is an apocalyptic number.

101211210122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211210122120 is an abundant number, since it is smaller than the sum of its proper divisors (162711784533880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101211210122120 is a wasteful number, since it uses less digits than its factorization.

101211210122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091107238 (or 5091107234 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101211210122120 its reverse (21221012112101), we get a palindrome (122432222234221).

The spelling of 101211210122120 in words is "one hundred one trillion, two hundred eleven billion, two hundred ten million, one hundred twenty-two thousand, one hundred twenty".