29101396720200 has 384 divisors, whose sum is σ = 104019242342400. Its totient is φ = 6592807342080.

The previous prime is 29101396720163. The next prime is 29101396720223. The reversal of 29101396720200 is 202769310192.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243326016 + ... + 243445584.

It is an arithmetic number, because the mean of its divisors is an integer number (270883443600).

Almost surely, 2^{29101396720200} is an apocalyptic number.

29101396720200 is a gapful number since it is divisible by the number (20) 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 29101396720200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009621171200).

29101396720200 is an abundant number, since it is smaller than the sum of its proper divisors (74917845622200).

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

29101396720200 is a wasteful number, since it uses less digits than its factorization.

29101396720200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120109 (or 120100 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 29101396720200 in words is "twenty-nine trillion, one hundred one billion, three hundred ninety-six million, seven hundred twenty thousand, two hundred".