101230133002000 has 320 divisors, whose sum is σ = 259911400320000. Its totient is φ = 38001725030400.

The previous prime is 101230133001973. The next prime is 101230133002039. The reversal of 101230133002000 is 200331032101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32455956441 + ... + 32455959559.

It is an arithmetic number, because the mean of its divisors is an integer number (812223126000).

Almost surely, 2^{101230133002000} is an apocalyptic number.

101230133002000 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 101230133002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129955700160000).

101230133002000 is an abundant number, since it is smaller than the sum of its proper divisors (158681267318000).

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

101230133002000 is a wasteful number, since it uses less digits than its factorization.

101230133002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101230133002000 its reverse (200331032101), we get a palindrome (101430464034101).

The spelling of 101230133002000 in words is "one hundred one trillion, two hundred thirty billion, one hundred thirty-three million, two thousand".