101023302132000 has 1152 divisors, whose sum is σ = 376957685744640. Its totient is φ = 25573636915200.

The previous prime is 101023302131987. The next prime is 101023302132019. The reversal of 101023302132000 is 231203320101.

101023302132000 is a `hidden beast` number, since 1 + 0 + 10 + 2 + 330 + 2 + 1 + 320 + 0 + 0 = 666.

101023302132000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 76590827341 + ... + 76590828659.

It is an arithmetic number, because the mean of its divisors is an integer number (327220213320).

Almost surely, 2^{101023302132000} is an apocalyptic number.

101023302132000 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 101023302132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188478842872320).

101023302132000 is an abundant number, since it is smaller than the sum of its proper divisors (275934383612640).

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

101023302132000 is a wasteful number, since it uses less digits than its factorization.

101023302132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101023302132000 its reverse (231203320101), we get a palindrome (101254505452101).

The spelling of 101023302132000 in words is "one hundred one trillion, twenty-three billion, three hundred two million, one hundred thirty-two thousand".