29790599800101 has 32 divisors (see below), whose sum is σ = 45520716130560. Its totient is φ = 16976193060864.

The previous prime is 29790599800081. The next prime is 29790599800151. The reversal of 29790599800101 is 10100899509792.

It is not a de Polignac number, because 29790599800101 - 2¹⁹ = 29790599275813 is a prime.

It is a super-2 number, since 2×29790599800101² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29790599799999 and 29790599800035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29790599800151) 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, 10281301 + ... + 12856373.

It is an arithmetic number, because the mean of its divisors is an integer number (1422522379080).

Almost surely, 2^{29790599800101} is an apocalyptic number.

29790599800101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

29790599800101 is a deficient number, since it is larger than the sum of its proper divisors (15730116330459).

29790599800101 is a wasteful number, since it uses less digits than its factorization.

29790599800101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576605.

The product of its (nonzero) digits is 3674160, while the sum is 60.

The spelling of 29790599800101 in words is "twenty-nine trillion, seven hundred ninety billion, five hundred ninety-nine million, eight hundred thousand, one hundred one".