102132010023120 has 1920 divisors, whose sum is σ = 440263012220928. Its totient is φ = 20604915302400.

The previous prime is 102132010023107. The next prime is 102132010023133. The reversal of 102132010023120 is 21320010231201.

102132010023120 is a `hidden beast` number, since 1 + 0 + 21 + 320 + 10 + 0 + 2 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102132010023107) and next prime (102132010023133).

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 = 102132010023093 and 102132010023102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 168257017857 + ... + 168257018463.

Almost surely, 2^{102132010023120} is an apocalyptic number.

102132010023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102132010023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220131506110464).

102132010023120 is an abundant number, since it is smaller than the sum of its proper divisors (338131002197808).

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

102132010023120 is a wasteful number, since it uses less digits than its factorization.

102132010023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1192 counting only the distinct ones).

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

Adding to 102132010023120 its reverse (21320010231201), we get a palindrome (123452020254321).

The spelling of 102132010023120 in words is "one hundred two trillion, one hundred thirty-two billion, ten million, twenty-three thousand, one hundred twenty".