101122120001120 has 48 divisors (see below), whose sum is σ = 238942321601760. Its totient is φ = 40441853190144.

The previous prime is 101122120001087. The next prime is 101122120001129. The reversal of 101122120001120 is 21100021221101.

It is a junction number, because it is equal to n+sod(n) for n = 101122120001095 and 101122120001104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122120001129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53718785 + ... + 55569344.

It is an arithmetic number, because the mean of its divisors is an integer number (4977965033370).

Almost surely, 2^{101122120001120} is an apocalyptic number.

101122120001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122120001120 is an abundant number, since it is smaller than the sum of its proper divisors (137820201600640).

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

101122120001120 is a wasteful number, since it uses less digits than its factorization.

101122120001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109293927 (or 109293919 counting only the distinct ones).

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

Adding to 101122120001120 its reverse (21100021221101), we get a palindrome (122222141222221).

The spelling of 101122120001120 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty million, one thousand, one hundred twenty".