101920548206400 has 1344 divisors, whose sum is σ = 424633244590080. Its totient is φ = 20788317388800.

The previous prime is 101920548206317. The next prime is 101920548206413. The reversal of 101920548206400 is 4602845029101.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5051313112 + ... + 5051333288.

Almost surely, 2^{101920548206400} is an apocalyptic number.

101920548206400 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 101920548206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212316622295040).

101920548206400 is an abundant number, since it is smaller than the sum of its proper divisors (322712696383680).

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

101920548206400 is a wasteful number, since it uses less digits than its factorization.

101920548206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20472 (or 20457 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 101920548206400 in words is "one hundred one trillion, nine hundred twenty billion, five hundred forty-eight million, two hundred six thousand, four hundred".