1023102231120 has 120 divisors (see below), whose sum is σ = 3554398341000. Its totient is φ = 263419419648.

The previous prime is 1023102231059. The next prime is 1023102231127. The reversal of 1023102231120 is 211322013201.

1023102231120 is a `hidden beast` number, since 1 + 0 + 2 + 310 + 2 + 231 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147253317696 + 875848913424 = 383736^2 + 935868^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1023102231093 and 1023102231102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023102231127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24478695 + ... + 24520454.

It is an arithmetic number, because the mean of its divisors is an integer number (29619986175).

Almost surely, 2^{1023102231120} is an apocalyptic number.

1023102231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023102231120 is an abundant number, since it is smaller than the sum of its proper divisors (2531296109880).

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

1023102231120 is a wasteful number, since it uses less digits than its factorization.

1023102231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48999197 (or 48999188 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1023102231120 its reverse (211322013201), we get a palindrome (1234424244321).

The spelling of 1023102231120 in words is "one trillion, twenty-three billion, one hundred two million, two hundred thirty-one thousand, one hundred twenty".