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101224422101 = 1110191111091
BaseRepresentation
bin101111001000101110…
…0100001101011010101
3100200021111121102121102
41132101130201223111
53124301423001401
6114300222355445
710212302251145
oct1362134415325
9320244542542
10101224422101
1139a246025a0
121774ba2bb85
1397123a506a
144c8390a925
15297699b56b
hex1791721ad5

101224422101 has 8 divisors (see below), whose sum is σ = 111519976608. Its totient is φ = 91111090000.

The previous prime is 101224422049. The next prime is 101224422199.

101224422101 is nontrivially palindromic in base 10.

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

It is a de Polignac number, because none of the positive numbers 2k-101224422101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101224422001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45554435 + ... + 45556656.

It is an arithmetic number, because the mean of its divisors is an integer number (13939997076).

Almost surely, 2101224422101 is an apocalyptic number.

101224422101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101224422101 is a deficient number, since it is larger than the sum of its proper divisors (10295554507).

101224422101 is a wasteful number, since it uses less digits than its factorization.

101224422101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91111203.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 101224 and 422101, that added together give a palindrome (523325).

The spelling of 101224422101 in words is "one hundred one billion, two hundred twenty-four million, four hundred twenty-two thousand, one hundred one".

Divisors: 1 11 101 1111 91111091 1002222001 9202220191 101224422101