101223053145 has 24 divisors (see below), whose sum is σ = 175556089800. Its totient is φ = 53953998336.

The previous prime is 101223053119. The next prime is 101223053177. The reversal of 101223053145 is 541350322101.

101223053145 is a `hidden beast` number, since 1 + 0 + 122 + 3 + 0 + 531 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21849569856 + 79373483289 = 147816^2 + 281733^2 .

It is not a de Polignac number, because 101223053145 - 2¹² = 101223049049 is a prime.

It is a super-2 number, since 2×101223053145² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581200 + ... + 735009.

It is an arithmetic number, because the mean of its divisors is an integer number (7314837075).

Almost surely, 2^101223053145 is an apocalyptic number.

101223053145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101223053145 is a deficient number, since it is larger than the sum of its proper divisors (74333036655).

101223053145 is a wasteful number, since it uses less digits than its factorization.

101223053145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317929 (or 1317926 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 101223053145 its reverse (541350322101), we get a palindrome (642573375246).

The spelling of 101223053145 in words is "one hundred one billion, two hundred twenty-three million, fifty-three thousand, one hundred forty-five".