102001111120 has 40 divisors (see below), whose sum is σ = 251102738664. Its totient is φ = 38400417792.

The previous prime is 102001111099. The next prime is 102001111153. The reversal of 102001111120 is 21111100201.

It can be written as a sum of positive squares in 4 ways, for example, as 22102174224 + 79898936896 = 148668^2 + 282664^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102001111097 and 102001111106.

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, 37499049 + ... + 37501768.

Almost surely, 2^102001111120 is an apocalyptic number.

102001111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001111120 is an abundant number, since it is smaller than the sum of its proper divisors (149101627544).

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

102001111120 is a wasteful number, since it uses less digits than its factorization.

102001111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75000847 (or 75000841 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102001111120 its reverse (21111100201), we get a palindrome (123112211321).

The spelling of 102001111120 in words is "one hundred two billion, one million, one hundred eleven thousand, one hundred twenty".