101201111120 has 40 divisors (see below), whose sum is σ = 235375471464. Its totient is φ = 40466184192.

The previous prime is 101201111119. The next prime is 101201111147. The reversal of 101201111120 is 21111102101.

It can be written as a sum of positive squares in 4 ways, for example, as 4099072576 + 97102038544 = 64024^2 + 311612^2 .

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

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, 7172 + ... + 449948.

Almost surely, 2^101201111120 is an apocalyptic number.

101201111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201111120 is an abundant number, since it is smaller than the sum of its proper divisors (134174360344).

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

101201111120 is a wasteful number, since it uses less digits than its factorization.

101201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445647 (or 445641 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101201111120 its reverse (21111102101), we get a palindrome (122312213221).

The spelling of 101201111120 in words is "one hundred one billion, two hundred one million, one hundred eleven thousand, one hundred twenty".