122101638101521 has 9 divisors (see below), whose sum is σ = 132216722251281. Its totient is φ = 112709071801872.

The previous prime is 122101638101519. The next prime is 122101638101539. The reversal of 122101638101521 is 125101836101221.

The square root of 122101638101521 is 11049961.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 426619291921 + 121675018809600 = 653161^2 + 11030640^2 .

It is not a de Polignac number, because 122101638101521 - 2¹ = 122101638101519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101638401521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143224495 + ... + 144074491.

It is an arithmetic number, because the mean of its divisors is an integer number (14690746916809).

Almost surely, 2^{122101638101521} is an apocalyptic number.

122101638101521 is the 11049961-st square number.

122101638101521 is the 5524981-st centered octagonal number.

It is an amenable number.

122101638101521 is a deficient number, since it is larger than the sum of its proper divisors (10115084149760).

122101638101521 is an frugal number, since it uses more digits than its factorization.

122101638101521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700020 (or 850010 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The spelling of 122101638101521 in words is "one hundred twenty-two trillion, one hundred one billion, six hundred thirty-eight million, one hundred one thousand, five hundred twenty-one".