101620127 has 8 divisors (see below), whose sum is σ = 116198400. Its totient is φ = 87057144.

The previous prime is 101620117. The next prime is 101620153. The reversal of 101620127 is 721026101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101620127 - 2¹⁴ = 101603743 is a prime.

It is a super-2 number, since 2×101620127² = 20653300422992258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101620099 and 101620108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101620117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22874 + ... + 26952.

It is an arithmetic number, because the mean of its divisors is an integer number (14524800).

Almost surely, 2^101620127 is an apocalyptic number.

101620127 is a deficient number, since it is larger than the sum of its proper divisors (14578273).

101620127 is an equidigital number, since it uses as much as digits as its factorization.

101620127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7645.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 101620127 is about 10080.6808797819. The cubic root of 101620127 is about 466.6521213720.

Adding to 101620127 its reverse (721026101), we get a palindrome (822646228).

It can be divided in two parts, 101620 and 127, that multiplied together give a triangular number (12905740 = T₅₀₈₀).

The spelling of 101620127 in words is "one hundred one million, six hundred twenty thousand, one hundred twenty-seven".