101553520000000 has 352 divisors, whose sum is σ = 261951360652800. Its totient is φ = 39310080000000.

The previous prime is 101553519999977. The next prime is 101553520000001. The reversal of 101553520000000 is 25355101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101553520000001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2479979526 + ... + 2480020474.

Almost surely, 2^{101553520000000} is an apocalyptic number.

101553520000000 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 101553520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130975680326400).

101553520000000 is an abundant number, since it is smaller than the sum of its proper divisors (160397840652800).

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

101553520000000 is an frugal number, since it uses more digits than its factorization.

101553520000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41035 (or 40987 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

Adding to 101553520000000 its reverse (25355101), we get a palindrome (101553545355101).

The spelling of 101553520000000 in words is "one hundred one trillion, five hundred fifty-three billion, five hundred twenty million", and thus it is an aban number.