101202110111120 has 40 divisors (see below), whose sum is σ = 236654992202616. Its totient is φ = 40246850720768.

The previous prime is 101202110111119. The next prime is 101202110111129. The reversal of 101202110111120 is 21111011202101.

It can be written as a sum of positive squares in 4 ways, for example, as 3013987655056 + 98188122456064 = 1736084^2 + 9908992^2 .

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 = 101202110111095 and 101202110111104.

It is not an unprimeable number, because it can be changed into a prime (101202110111129) 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, 3656131757 + ... + 3656159436.

Almost surely, 2^{101202110111120} is an apocalyptic number.

101202110111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202110111120 is an abundant number, since it is smaller than the sum of its proper divisors (135452882091496).

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

101202110111120 is a wasteful number, since it uses less digits than its factorization.

101202110111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7312291379 (or 7312291373 counting only the distinct ones).

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

Adding to 101202110111120 its reverse (21111011202101), we get a palindrome (122313121313221).

The spelling of 101202110111120 in words is "one hundred one trillion, two hundred two billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".