101201120120 has 32 divisors (see below), whose sum is σ = 227887905600. Its totient is φ = 40447490688.

The previous prime is 101201120107. The next prime is 101201120147. The reversal of 101201120120 is 21021102101.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 980144 + ... + 1078463.

It is an arithmetic number, because the mean of its divisors is an integer number (7121497050).

Almost surely, 2^101201120120 is an apocalyptic number.

101201120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201120120 is an abundant number, since it is smaller than the sum of its proper divisors (126686785480).

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

101201120120 is a wasteful number, since it uses less digits than its factorization.

101201120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059847 (or 2059843 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101201120120 its reverse (21021102101), we get a palindrome (122222222221).

The spelling of 101201120120 in words is "one hundred one billion, two hundred one million, one hundred twenty thousand, one hundred twenty".