101860352722921 has 27 divisors (see below), whose sum is σ = 110566946576151. Its totient is φ = 93796646611824.

The previous prime is 101860352722907. The next prime is 101860352722979. The reversal of 101860352722921 is 129227253068101.

The square root of 101860352722921 is 10092589.

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

It can be written as a sum of positive squares in only one way, i.e., 15068099515225 + 86792253207696 = 3881765^2 + 9316236^2 .

It is not a de Polignac number, because 101860352722921 - 2¹⁷ = 101860352591849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101860352722721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79640619160 + ... + 79640620438.

It is an arithmetic number, because the mean of its divisors is an integer number (4095072095413).

Almost surely, 2^{101860352722921} is an apocalyptic number.

101860352722921 is the 10092589-th square number.

101860352722921 is the 5046295-th centered octagonal number.

It is an amenable number.

101860352722921 is a deficient number, since it is larger than the sum of its proper divisors (8706593853230).

101860352722921 is an frugal number, since it uses more digits than its factorization.

101860352722921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 101860352722921 in words is "one hundred one trillion, eight hundred sixty billion, three hundred fifty-two million, seven hundred twenty-two thousand, nine hundred twenty-one".