101102201111120 has 40 divisors (see below), whose sum is σ = 256431946456800. Its totient is φ = 36764436767360.

The previous prime is 101102201111117. The next prime is 101102201111143. The reversal of 101102201111120 is 21111102201101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 101102201111095 and 101102201111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57444431570 + ... + 57444433329.

It is an arithmetic number, because the mean of its divisors is an integer number (6410798661420).

Almost surely, 2^{101102201111120} is an apocalyptic number.

101102201111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102201111120 is an abundant number, since it is smaller than the sum of its proper divisors (155329745345680).

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

101102201111120 is a wasteful number, since it uses less digits than its factorization.

101102201111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114888864923 (or 114888864917 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101102201111120 its reverse (21111102201101), we get a palindrome (122213303312221).

The spelling of 101102201111120 in words is "one hundred one trillion, one hundred two billion, two hundred one million, one hundred eleven thousand, one hundred twenty".