101023321122120 has 32 divisors (see below), whose sum is σ = 303069963366720. Its totient is φ = 26939552299200.

The previous prime is 101023321122109. The next prime is 101023321122149. The reversal of 101023321122120 is 21221123320101.

It is a super-3 number, since 3×101023321122120³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 420930504556 + ... + 420930504795.

It is an arithmetic number, because the mean of its divisors is an integer number (9470936355210).

Almost surely, 2^{101023321122120} is an apocalyptic number.

101023321122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101023321122120 is an abundant number, since it is smaller than the sum of its proper divisors (202046642244600).

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

101023321122120 is a wasteful number, since it uses less digits than its factorization.

101023321122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841861009365 (or 841861009361 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101023321122120 its reverse (21221123320101), we get a palindrome (122244444442221).

The spelling of 101023321122120 in words is "one hundred one trillion, twenty-three billion, three hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty".