21954729814101 has 64 divisors (see below), whose sum is σ = 39331191244800. Its totient is φ = 11823685198848.

The previous prime is 21954729814051. The next prime is 21954729814249. The reversal of 21954729814101 is 10141892745912.

21954729814101 is a `hidden beast` number, since 2 + 1 + 9 + 547 + 2 + 9 + 81 + 4 + 10 + 1 = 666.

It is not a de Polignac number, because 21954729814101 - 2¹³ = 21954729805909 is a prime.

It is a super-2 number, since 2×21954729814101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21954729816101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15145851 + ... + 16531976.

It is an arithmetic number, because the mean of its divisors is an integer number (614549863200).

Almost surely, 2^{21954729814101} is an apocalyptic number.

21954729814101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21954729814101 is a deficient number, since it is larger than the sum of its proper divisors (17376461430699).

21954729814101 is a wasteful number, since it uses less digits than its factorization.

21954729814101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31678055 (or 31678049 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 21954729814101 in words is "twenty-one trillion, nine hundred fifty-four billion, seven hundred twenty-nine million, eight hundred fourteen thousand, one hundred one".