100901343105420 has 192 divisors, whose sum is σ = 332727568750080. Its totient is φ = 22524114585600.

The previous prime is 100901343105377. The next prime is 100901343105427. The reversal of 100901343105420 is 24501343109001.

100901343105420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (100901343105427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10867386 + ... + 17885825.

It is an arithmetic number, because the mean of its divisors is an integer number (1732956087240).

Almost surely, 2^{100901343105420} is an apocalyptic number.

100901343105420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100901343105420 is an abundant number, since it is smaller than the sum of its proper divisors (231826225644660).

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

100901343105420 is a wasteful number, since it uses less digits than its factorization.

100901343105420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28753656 (or 28753654 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 100901343105420 in words is "one hundred trillion, nine hundred one billion, three hundred forty-three million, one hundred five thousand, four hundred twenty".