101533112002000 has 160 divisors (see below), whose sum is σ = 280644335112960. Its totient is φ = 34803308966400.

The previous prime is 101533112001977. The next prime is 101533112002001. The reversal of 101533112002000 is 200211335101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101533112002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59910282 + ... + 61581718.

It is an arithmetic number, because the mean of its divisors is an integer number (1754027094456).

Almost surely, 2^{101533112002000} is an apocalyptic number.

101533112002000 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 101533112002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140322167556480).

101533112002000 is an abundant number, since it is smaller than the sum of its proper divisors (179111223110960).

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

101533112002000 is a wasteful number, since it uses less digits than its factorization.

101533112002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675806 (or 1675790 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 101533112002000 its reverse (200211335101), we get a palindrome (101733323337101).

The spelling of 101533112002000 in words is "one hundred one trillion, five hundred thirty-three billion, one hundred twelve million, two thousand".