102310122132000 has 576 divisors, whose sum is σ = 373241130129504. Its totient is φ = 26521908019200.

The previous prime is 102310122131993. The next prime is 102310122132083. The reversal of 102310122132000 is 231221013201.

102310122132000 is a `hidden beast` number, since 1 + 0 + 2 + 310 + 12 + 21 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4653114923664 + 97657007208336 = 2157108^2 + 9882156^2 .

It is a super-2 number, since 2×102310122132000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1535762692 + ... + 1535829308.

Almost surely, 2^{102310122132000} is an apocalyptic number.

102310122132000 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 102310122132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186620565064752).

102310122132000 is an abundant number, since it is smaller than the sum of its proper divisors (270931007997504).

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

102310122132000 is a wasteful number, since it uses less digits than its factorization.

102310122132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67838 (or 67817 counting only the distinct ones).

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

Adding to 102310122132000 its reverse (231221013201), we get a palindrome (102541343145201).

The spelling of 102310122132000 in words is "one hundred two trillion, three hundred ten billion, one hundred twenty-two million, one hundred thirty-two thousand".