101348126400000 has 1920 divisors, whose sum is σ = 361922419482624. Its totient is φ = 25159680000000.

The previous prime is 101348126399959. The next prime is 101348126400011. The reversal of 101348126400000 is 4621843101.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 559934399910 + ... + 559934400090.

Almost surely, 2^{101348126400000} is an apocalyptic number.

101348126400000 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 101348126400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180961209741312).

101348126400000 is an abundant number, since it is smaller than the sum of its proper divisors (260574293082624).

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

101348126400000 is an frugal number, since it uses more digits than its factorization.

101348126400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 101348126400000 in words is "one hundred one trillion, three hundred forty-eight billion, one hundred twenty-six million, four hundred thousand".