201761121016 has 32 divisors (see below), whose sum is σ = 465602588640. Its totient is φ = 79817586048.

The previous prime is 201761120993. The next prime is 201761121017. The reversal of 201761121016 is 610121167102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201761121017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138571471 + ... + 138572926.

It is an arithmetic number, because the mean of its divisors is an integer number (14550080895).

Almost surely, 2^201761121016 is an apocalyptic number.

201761121016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

201761121016 is an abundant number, since it is smaller than the sum of its proper divisors (263841467624).

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

201761121016 is a wasteful number, since it uses less digits than its factorization.

201761121016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277144423 (or 277144419 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

Adding to 201761121016 its reverse (610121167102), we get a palindrome (811882288118).

It can be divided in two parts, 20176112 and 1016, that added together give a triangular number (20177128 = T₆₃₅₂).

The spelling of 201761121016 in words is "two hundred one billion, seven hundred sixty-one million, one hundred twenty-one thousand, sixteen".