102011120 has 40 divisors (see below), whose sum is σ = 240192960. Its totient is φ = 40285440.

The previous prime is 102011113. The next prime is 102011191. The reversal of 102011120 is 21110201.

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 (8).

It is a junction number, because it is equal to n+sod(n) for n = 102011098 and 102011107.

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, 1751 + ... + 14390.

It is an arithmetic number, because the mean of its divisors is an integer number (6004824).

Almost surely, 2^102011120 is an apocalyptic number.

102011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011120 is an abundant number, since it is smaller than the sum of its proper divisors (138181840).

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

102011120 is a wasteful number, since it uses less digits than its factorization.

102011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16233 (or 16227 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 102011120 is about 10100.0554453924. The cubic root of 102011120 is about 467.2498514001.

Adding to 102011120 its reverse (21110201), we get a palindrome (123121321).

The spelling of 102011120 in words is "one hundred two million, eleven thousand, one hundred twenty".